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:
enter image source here
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: