- #1

- 309

- 7

## Homework Statement

Find the value of [tex]\lim_{x \to 0}\frac{cosx - \sqrt{1 + sin^{2}x}}{x^{2}}[/tex]

## Homework Equations

N/A

## The Attempt at a Solution

The answer is 1/2, but I don't know how they got that. I've tried using double angle formulas and multiplying by the conjugate but I get nowhere. How should I attempt to simplify this limit?