Find out the answer to "How to find vertical asymptotes using limits?" - Plainmath

Ean Chapman

Answered question

2023-03-16

How to find vertical asymptotes using limits?

Answer & Explanation

Wilhalm3qdn

Beginner2023-03-17Added 8 answers

The vertical line

x = a

is a vertical asymptote of $f(x)$ if either

lim_{x \to a^{-}} f (x) = \pm \infty

or

lim_{x \to a^{+}} f (x) = \pm \infty

.
Thus, we must identify

a

-values such that either the left-hand limit or the right-hand limit is

\pm \infty

.

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