Answer
The limit does not exist.
Work Step by Step
$\lim\limits_{x\to-3} \frac{2x+5}{x+3}$
This is division of polynomials.
The polynomial on the denominator becomes zero after substitution of the value $-3$. The left-hand limit $\ne$ the right-hand limit, as illustrated by the graph.
$\therefore$ The limit does not exist.
