Question

Does a limit exist at a vertical asymptote?

Answer 1

Well i really do not try to give out direct answers but maybe this can help? -> http://archives.math.utk.edu/visual.calculus/1/vertical.4/

Answer 2

I am given a grap of a function where the vertical asymptote shows arrows going upward towards positive infinity.
Does that mean the limit does not exist?

Answer 3

I thought the limit did exist for this one, I wanted to say positive infinity for the limit.

Answer 4

Please hold on for a second.

Answer 5

I gave you that link to help as right now i do not do calculus :). So i tried to help you in a way ^-^. Sorry that i cannot help any further :(.

Answer 6

I am way behind you in grade levels man ^-^

Answer 7

It depends on what you consider to be existence, and the type of asymptote.

Answer 8

For example, I would say \[
\lim_{x\to 0}\frac{1}{x^2} = \infty
\]To be an asymptote with a limit that exists.

Answer 9

Basic Calculus level, nothing higher, High School Calculus and I am studying for the Ap Exam

Answer 10

yes graph is a piecewise and does have that similarity in the graph of that particular function

Answer 11

Limit exists if right and left hand limits are equal

Answer 12

For an vertical asymptote, you know that at least one of the one sides limits exist.

Answer 13

Both going upward towards positive infinity

Answer 14

Maybe it is a typo in my key.

Answer 15

thanks... I am going to double check my book for the exact definition but I believe it could just be a typo