Problem 31 - College Algebra and Calculus: An Applied Approach

Question

Find the limit. $$ \lim _{x \rightarrow-3} \frac{2}{x+2} $$

Step-by-Step Solution

Answer

-1

Step 1: Substitution

Since the function \( \frac{2}{x+2} \) is defined and continuous for \( x = -3 \), this allows for a direct substitution of \( x = -3 \) into the function.

Step 2: Compute the limit

After substituting \( x = -3 \) into the function, we get: \( \frac{2}{-3+2} = 2 \).