Using the l'Hopital's rule, find the following.

Question

Please answer the following question.

Suppose you know the following:

1. f (-3) = -5
2. f' (-3) = 4
3. f' (x) is continuous for all x

Find the following.

lim ln(f(x)+6) / f(x)]2−25 =

x→−3

Answer 1

l'Hospital's rule will give you:

[f'(-3)/(f(-3) + 6]/[2f(-3)f'(-3)]

You should be able to plug in the values and get the answer.