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

Evaluate limit in terms of the number [tex]\alpha=\lim_{x\rightarrow 0}\frac{sinx}{x}[/tex]

[tex]\lim_{x\rightarrow 0}\frac{tan^2x+2x}{(x+x^2)}[/tex]

3. The attempt at a solution

[tex]\lim_{x\rightarrow 0}\frac{tan^2x+2x}{x}-\lim_{x\rightarrow 0}\frac{tan^2x+2x}{(1+x)}[/tex]

[tex]=\lim_{x\rightarrow 0}\frac{sin^2x}{xcos^2x}-\lim_{x\rightarrow 0}\frac{sin^2x}{cos^2x(1+x)}+2[/tex]

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# Homework Help: Evalution of a Limit

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