- #1

- 16

- 0

**How to find the limit of (e^(4/x) - 2x)^(X/2) as x--> 0+**

## Homework Statement

[tex]\mathop{\lim}\limits_{x \to 0+} (e^{4/x} -2x)^{x/2}[/tex]

## Homework Equations

if lim ln f(x) = L then [tex]\mathop{\lim}\limits_{x \to 0+} e^{ln f(x)} = e^L[/tex]

## The Attempt at a Solution

Not too sure what my first step is. If I just plug in, I get 1. I tried taking the ln of the function, but that gives me a non-indeterminant result 0/2. Is the idea to take the ln, then derive, AND THEN solve?