Question

How do you evaluate the limit `(x-1)/(x^2-1)` as x approaches `1`?

Answer 1

`1/2`

Explanation:

`lim_(x to 1) (x-1)/(x^2-1)`

`=lim_(x to 1) (x-1)/((x-1)(x+1))`

`=lim_(x to 1) (x-1)/(x-1) *lim_(x to 1) 1/(x+1)`

`=1* 1/2`