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