Question

Find the indicated limit. Note that I'Hôpital's rule does not apply to every problem, and some problems will require more than one application of I'Hôpital's rule. Use - [infinity] or [infinity] when appropriate.

lim x→−2 (x²+5x+4) / ( x²+4x+5)

Answer 1

The limit of the given expression as x approaches -2 is 0.

Step-by-step explanation:

To find the limit of the given expression, we can evaluate it directly by substituting x = -2 into the expression and simplifying:

lim x→-2 (x²+5x+4) / (x²+4x+5) = (-2)²+5(-2)+4 / (-2)²+4(-2)+5 = 0 / 1 = 0

Therefore, the limit of the given expression as x approaches -2 is 0.