- #1

- 1,047

- 779

## Homework Statement

True False

If the line x=1 is a vertical asymptote of y = f(x), then f is not defined at 1.

## Homework Equations

none

## The Attempt at a Solution

I originally believed this was true, but on finding it was false it sought a counter example:

if for example f(x) = 1/x if x != 0

5 if x = 0

Then the function is defined, but the asymptote still is at x=1, correct?

This is very basic - I just want to make sure I understand it thoroughly. Thanks.