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anonymous
 3 years ago
Did i do this correctly??
anonymous
 3 years ago
Did i do this correctly??

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anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i can't quite read c is that x approaching 1?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0then what does a say?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0lim of f(x) as x approaches to 1

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so its the same equation? a and c are both lim as x>1 of f(x)?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh 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?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0d doesn't exit because of the knot!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0ohhh wait, but from the left hand and right hand side its meeting at 4

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0u mean the hole in the graph?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yep. 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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0wait ur 2nd last comment was on option d right!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0well ya but i kind of gave away the answer to e, too, i think hah

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0but yes, for d, the limit as x>5 of f(x) exists because the function obviously approaches 4 at f(5).

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so wht does it means if we hv a knot in the graph! why is it undef??

phi
 3 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)

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0like for b its undefined,

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0lol thanks @phi so u tell me if its right a) 2 b) 3 c) dne d) 4 e) dne

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0oh i'm sorry. ur right on b. that is defined since it's just coming from the right.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so a and b are both defined and c is undefined

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0d is also defined like we just talked about, but what about e?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0does it means that the y value is 5?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0well f(5) is asking what y is equal to when x=5

phi
 3 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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so if you look on the graph where x = 5, the there's a hole, meaning y is undefined

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0it basically skips over that one point. it approaches it from both sides, but y never equals 4 because theres that hole there

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0cool. so it doesn't exist, right?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0no like u said coz of the hole!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0okay thanks for ur help guys!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0sure! the question also asks for the value of the quantity, if it exists

phi
 3 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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yea i asked @phi if i did it right!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0okay so a) 2 b) dne c) dne d) 4 e) dne, correct?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0umm i could be wrong but i thought b exists

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i 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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0but aside from that, i agree w ur answers, but i think b exists and it's 3

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i m still confused on b!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0coz from the left its 1 and it exist why it doesn't exist from the other side?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0exactly...i think it does exist from the other side. i think phi's wrong

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0well i guess i hv to look for the difference btw the hole vs black hole!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0definitely. black (filled in) means f(x) is defined at that point, hole (empty) means its not

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0there u go so it doesn't exist coz its empty

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0exactly. 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
 3 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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0idk if you've covered continuity yet, tho hah, so i don't want to add extra confusion.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0phi why do you think b doesn't exist?

phi
 3 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.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0it is right to left. hmm

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0in example 1 of the link, there's no mention of righthand or lefthand limits...

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0that's a really good tutorial tho

phi
 3 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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0hah phew. I also first thought that b didn't exist haha but I checked and i was wrong.

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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0alright so we all agree now b is 3!!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i'm retaking calc 2 right now and am having to relearn everything after precalc, so i understand!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0speaking of, phi, do you wanna try helping me with my own limit problem?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0i'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 :(

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0same here.. and ur question is kinda hard thts y nobody is willing to try!

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0lol 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

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0lol for real!! FAIL.. _

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yup. not to me personally but it happened to my friend. the professor was like the dean of the math department, too haha

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0in his defense, tho, he's a stats guy, not calculus

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0hmm but still. Stats is pretty much like math!
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