Question

Given `(sqrtx - 5) / (x - 25)` how do you find the limit as x approaches 25?

Answer 1

`1/10`

Explanation:

`lim_(x to 25) (sqrt x - 5)/(x-25)`

`lim_(x to 25) (sqrt x - 5)/((sqrt x - 5)(sqrt x + 5))`

`lim_(x to 25) 1/(sqrt x + 5)`

`= 1/10`