- #1

Astrum

- 269

- 5

## Homework Statement

[itex]Lim_{x\rightarrow0^{+}}X^{x}[/itex]

## Homework Equations

## The Attempt at a Solution

[itex]ln(x^{x})=xln(x)=\frac{ln(x)}{x^{-1}}[/itex]

Take the derivative of the top and bottom -

[itex]\frac{x^{-1}}{-x^{-2}}=\frac{-x^{2}}{x}[/itex]

So, we're left with: [itex]lim_{x\rightarrow0^{+}}-x[/itex]

So, the answer would be 0, right? Where di I mess up? My book says the answer should be 1.