Question

function

Answer 1

kk

Answer 2

Do you have an example or what do you know about using limits to find vertical asymptotes?

Answer 3

I know the vertical asymptote is -1 but I need to define it using limits.

Answer 4

To find vertical asymptotes all you have to do is find values such that the denominator of the function equals zero. Looking at the function that point is -1.

So if take the limit as x--> -1 you get

\[\lim_{x \rightarrow -1} x^3 +1/(x+1) = \infty \]

Hope this helps :)

Answer 5

As, such -1 is a vertical asymptote.

Answer 6

Okay so that is how you define it using a limit? That is all you have to do?

Answer 7

Yep, as long as you show that the limit as x--> -1 = infinity that would be using limits to define the asymptote :)

Answer 8

awesome Thanks!