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

##### 1 Answer

Dec 15, 2014

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:

The values y of your function will get near and near to the y axis but will never cross it!!!!

You can try by yourself using values of x such as:

0.1

0.01

0.001

or

-0.1

-0.01

-0.001