limit as x approaches 3 from the left of (x+1) /(X^2-x-6)

Question

evaluate analytically.

Answer 1

The denominator can be factored as (x-3)(x+2). So if x approaches 3 from the left it means that x<3 and so x-3<0. Therefore, the limit of the expression is -\infty since all other quantities approach positive values.