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jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
i can't quite read c is that x approaching 1?
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
then what does a say?
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
lim of f(x) as x approaches to 1
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
so its the same equation? a and c are both lim as x>1 of f(x)?
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
oh ok. well yes A is correct. if b is x>x+ then it it is also correct, that limit does not exist. c is also correct, but d and e are incorrect...any idea why?
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
d doesn't exit because of the knot!
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
ohhh wait, but from the left hand and right hand side its meeting at 4
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
u mean the hole in the graph?
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
so it does exist
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
yep. f(5) doesn't have to be defined to have a limit there.. as long as it approaches the same number from both sides, it exists
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
so what about e?
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
wait ur 2nd last comment was on option d right!
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
well ya but i kind of gave away the answer to e, too, i think hah
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
but yes, for d, the limit as x>5 of f(x) exists because the function obviously approaches 4 at f(5).
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
so wht does it means if we hv a knot in the graph! why is it undef??
 2 years ago

phi Group TitleBest ResponseYou've already chosen the best response.0
btw, the question asks for the value of the limit when it exists (not just that it exists)
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
like for b its undefined,
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
lol thanks @phi so u tell me if its right a) 2 b) 3 c) dne d) 4 e) dne
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
oh i'm sorry. ur right on b. that is defined since it's just coming from the right.
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
so a and b are both defined and c is undefined
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
d is also defined like we just talked about, but what about e?
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
does it means that the y value is 5?
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
well f(5) is asking what y is equal to when x=5
 2 years ago

phi Group TitleBest ResponseYou've already chosen the best response.0
an open circle means that value is not defined. note that (e) is not a limit problem
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
so if you look on the graph where x = 5, the there's a hole, meaning y is undefined
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
it basically skips over that one point. it approaches it from both sides, but y never equals 4 because theres that hole there
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
ohh okay got it now!
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
cool. so it doesn't exist, right?
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
no like u said coz of the hole!
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
okay thanks for ur help guys!
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
sure! the question also asks for the value of the quantity, if it exists
 2 years ago

phi Group TitleBest ResponseYou've already chosen the best response.0
btw, if (b) is x> 1+ (approaching from the right), the limit does not exist
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
yea i asked @phi if i did it right!
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
okay so a) 2 b) dne c) dne d) 4 e) dne, correct?
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
umm i could be wrong but i thought b exists
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
i actually wasn't sure so i looked it up, i'm seeing examples of limits approaching an undefined, discontinuous point from one side that exist
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
phi, u here?
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
but aside from that, i agree w ur answers, but i think b exists and it's 3
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
i m still confused on b!
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
coz from the left its 1 and it exist why it doesn't exist from the other side?
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
exactly...i think it does exist from the other side. i think phi's wrong
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
well i guess i hv to look for the difference btw the hole vs black hole!
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
definitely. black (filled in) means f(x) is defined at that point, hole (empty) means its not
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
there u go so it doesn't exist coz its empty
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
exactly. unless there's a black point somewhere randomly off the graph at the same x as the hole, then it's defined, just not continuous
 2 years ago

phi Group TitleBest ResponseYou've already chosen the best response.0
do you have a link? see example http://tutorial.math.lamar.edu/Classes/CalcI/Continuity.aspx
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
idk if you've covered continuity yet, tho hah, so i don't want to add extra confusion.
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
phi why do you think b doesn't exist?
 2 years ago

phi Group TitleBest ResponseYou've already chosen the best response.0
for(b) I can not read the problem, but if you are approaching x=1 from the left the limit defined. If you approach right to left, the limit is undefined.
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
it is right to left. hmm
 2 years ago

phi Group TitleBest ResponseYou've already chosen the best response.0
see the link, example 1
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
in example 1 of the link, there's no mention of righthand or lefthand limits...
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
that's a really good tutorial tho
 2 years ago

phi Group TitleBest ResponseYou've already chosen the best response.0
I take it back. That first example was for continuity Here http://tutorial.math.lamar.edu/Classes/CalcI/OneSidedLimits.aspx example 4 , letters (f) and (g) show that onesided limits exist. so (b) is 3
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
hah phew. I also first thought that b didn't exist haha but I checked and i was wrong.
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
so yes, b is 3
 2 years ago

phi Group TitleBest ResponseYou've already chosen the best response.0
Obviously I needed a refresher on this stuff.
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
alright so we all agree now b is 3!!
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
i'm retaking calc 2 right now and am having to relearn everything after precalc, so i understand!
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
and yes, we agree
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
thanks all!!
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
speaking of, phi, do you wanna try helping me with my own limit problem?
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
i've never used this site... but i really like teaching people so i'm enjoying it...even tho no one's even tried to answer my question :(
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
same here.. and ur question is kinda hard thts y nobody is willing to try!
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
lol my teacher's impossible! at the tutoring center in my college, sometimes professors come in and look at the problem and say, that's too hard, i dont want to help you with that
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
lol for real!! FAIL.. _
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
yup. not to me personally but it happened to my friend. the professor was like the dean of the math department, too haha
 2 years ago

jldstuff393 Group TitleBest ResponseYou've already chosen the best response.1
in his defense, tho, he's a stats guy, not calculus
 2 years ago

math456 Group TitleBest ResponseYou've already chosen the best response.1
hmm but still. Stats is pretty much like math!
 2 years ago
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