- #1

Arnoldjavs3

- 191

- 3

## Homework Statement

Problem 1:

##f'(1) = -2##

Solve:

$$\lim_{x\to0} \frac{f(e^{5x} - x^2) - f(1)}{x}$$

## Homework Equations

## The Attempt at a Solution

Okay so these type of problems really get to me. I'm going to assume some level of substitution are needed but I'm really unsure.

I'm guessing that I can do something like ## u = e^5x - x^2##(or maybe i have to do something like## h(x) = f(e^{5x} - x^2)##.

But what would I do from there? Would f(1) be equal to h(1)? Do I just use l'hopitals if this is on the right path? Is there a standard procedure to follow when dealing with limits that have function notations in them?

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