(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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

2. Relevant equations

N/A

3. 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?

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# Trig limit.

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