Home > Calculus > Infinite Limits and Vertical Asymptotes

What is the vertical asymptote of #y=1/x#?

Answer 1

Well, basically the y axis is the vertical asymptote of this function.
You can see this by trying to get near to it giving values of x near and around the value of zero (which is prohibited!!!)
You'll find that getting near to zero (from the positive or negative side) will give you values of y very big (positively and negatively) as in figure:

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Answer 2

Ezra Adams

The vertical asymptote of the function y=1/x is the line x=0.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.