Question

How do you find the `lim_(x to 3) sqrt(x+1)/(x-4)`?

Answer 1

The limit is the expression evaluated at 3.

Explanation:

`lim_(x to 3) sqrt(x+1)/(x-4) = sqrt(3+1)/(3-4)`

`lim_(x to 3) sqrt(x+1)/(x-4) = sqrt(4)/-1`

`lim_(x to 3) sqrt(x+1)/(x-4) = 2/-1`

`lim_(x to 3) sqrt(x+1)/(x-4) = -2`