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

1 Answer
Jul 3, 2018

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#