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jldstuff393Best ResponseYou've already chosen the best response.1
i can't quite read c is that x approaching 1?
 one year ago

jldstuff393Best ResponseYou've already chosen the best response.1
then what does a say?
 one year ago

math456Best ResponseYou've already chosen the best response.1
lim of f(x) as x approaches to 1
 one year ago

jldstuff393Best 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)?
 one year ago

jldstuff393Best 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?
 one year ago

math456Best ResponseYou've already chosen the best response.1
d doesn't exit because of the knot!
 one year ago

math456Best ResponseYou've already chosen the best response.1
ohhh wait, but from the left hand and right hand side its meeting at 4
 one year ago

jldstuff393Best ResponseYou've already chosen the best response.1
u mean the hole in the graph?
 one year ago

jldstuff393Best 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
 one year ago

math456Best ResponseYou've already chosen the best response.1
wait ur 2nd last comment was on option d right!
 one year ago

jldstuff393Best ResponseYou've already chosen the best response.1
well ya but i kind of gave away the answer to e, too, i think hah
 one year ago

jldstuff393Best 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).
 one year ago

math456Best 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??
 one year ago

phiBest 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)
 one year ago

math456Best ResponseYou've already chosen the best response.1
like for b its undefined,
 one year ago

math456Best 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
 one year ago

jldstuff393Best 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.
 one year ago

jldstuff393Best ResponseYou've already chosen the best response.1
so a and b are both defined and c is undefined
 one year ago

jldstuff393Best ResponseYou've already chosen the best response.1
d is also defined like we just talked about, but what about e?
 one year ago

math456Best ResponseYou've already chosen the best response.1
does it means that the y value is 5?
 one year ago

jldstuff393Best ResponseYou've already chosen the best response.1
well f(5) is asking what y is equal to when x=5
 one year ago

phiBest 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
 one year ago

jldstuff393Best 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
 one year ago

jldstuff393Best 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
 one year ago

jldstuff393Best ResponseYou've already chosen the best response.1
cool. so it doesn't exist, right?
 one year ago

math456Best ResponseYou've already chosen the best response.1
no like u said coz of the hole!
 one year ago

math456Best ResponseYou've already chosen the best response.1
okay thanks for ur help guys!
 one year ago

jldstuff393Best ResponseYou've already chosen the best response.1
sure! the question also asks for the value of the quantity, if it exists
 one year ago

phiBest ResponseYou've already chosen the best response.0
btw, if (b) is x> 1+ (approaching from the right), the limit does not exist
 one year ago

math456Best ResponseYou've already chosen the best response.1
yea i asked @phi if i did it right!
 one year ago

math456Best ResponseYou've already chosen the best response.1
okay so a) 2 b) dne c) dne d) 4 e) dne, correct?
 one year ago

jldstuff393Best ResponseYou've already chosen the best response.1
umm i could be wrong but i thought b exists
 one year ago

jldstuff393Best 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
 one year ago

jldstuff393Best 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
 one year ago

math456Best ResponseYou've already chosen the best response.1
i m still confused on b!
 one year ago

math456Best 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?
 one year ago

jldstuff393Best ResponseYou've already chosen the best response.1
exactly...i think it does exist from the other side. i think phi's wrong
 one year ago

math456Best ResponseYou've already chosen the best response.1
well i guess i hv to look for the difference btw the hole vs black hole!
 one year ago

jldstuff393Best 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
 one year ago

math456Best ResponseYou've already chosen the best response.1
there u go so it doesn't exist coz its empty
 one year ago

jldstuff393Best 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
 one year ago

phiBest ResponseYou've already chosen the best response.0
do you have a link? see example http://tutorial.math.lamar.edu/Classes/CalcI/Continuity.aspx
 one year ago

jldstuff393Best 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.
 one year ago

jldstuff393Best ResponseYou've already chosen the best response.1
phi why do you think b doesn't exist?
 one year ago

phiBest 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.
 one year ago

jldstuff393Best ResponseYou've already chosen the best response.1
it is right to left. hmm
 one year ago

jldstuff393Best ResponseYou've already chosen the best response.1
in example 1 of the link, there's no mention of righthand or lefthand limits...
 one year ago

jldstuff393Best ResponseYou've already chosen the best response.1
that's a really good tutorial tho
 one year ago

phiBest 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
 one year ago

jldstuff393Best 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.
 one year ago

phiBest ResponseYou've already chosen the best response.0
Obviously I needed a refresher on this stuff.
 one year ago

math456Best ResponseYou've already chosen the best response.1
alright so we all agree now b is 3!!
 one year ago

jldstuff393Best 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!
 one year ago

jldstuff393Best ResponseYou've already chosen the best response.1
speaking of, phi, do you wanna try helping me with my own limit problem?
 one year ago

jldstuff393Best 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 :(
 one year ago

math456Best ResponseYou've already chosen the best response.1
same here.. and ur question is kinda hard thts y nobody is willing to try!
 one year ago

jldstuff393Best 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
 one year ago

math456Best ResponseYou've already chosen the best response.1
lol for real!! FAIL.. _
 one year ago

jldstuff393Best 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
 one year ago

jldstuff393Best ResponseYou've already chosen the best response.1
in his defense, tho, he's a stats guy, not calculus
 one year ago

math456Best ResponseYou've already chosen the best response.1
hmm but still. Stats is pretty much like math!
 one year ago
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