Question

What is the limit as x approaches 1 of `5/((x-1)^2)`?

Answer 1

I would say `oo`;

Explanation:

In your limit, you can approach `1` from the left (`x` smaller than `1`) or the right (`x` bigger than `1`) and the denominator will always be a very small number and positive (due to the power of two) giving:

`lim_(x->1)(5/(x-1)^2)=5/(+0.0000....1)=oo`