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math456
 2 years ago
Did i do this correctly??
math456
 2 years ago
Did i do this correctly??

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

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

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

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

jldstuff393
 2 years ago
Best ResponseYou've already chosen the best response.1oh 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?

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

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

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

jldstuff393
 2 years ago
Best ResponseYou've already chosen the best response.1yep. 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

jldstuff393
 2 years ago
Best ResponseYou've already chosen the best response.1i 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

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

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

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

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

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

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

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

jldstuff393
 2 years ago
Best ResponseYou've already chosen the best response.1exactly. 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

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

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

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

phi
 2 years ago
Best ResponseYou've already chosen the best response.0for(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.

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

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

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

phi
 2 years ago
Best ResponseYou've already chosen the best response.0I 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

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

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

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

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

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

jldstuff393
 2 years ago
Best ResponseYou've already chosen the best response.1i'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 :(

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

jldstuff393
 2 years ago
Best ResponseYou've already chosen the best response.1lol 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

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

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

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

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