Limit x Tends to Zero $\lim_{x\rightarrow 0}\frac{1 – cosx}{\sin^2x}$

Limit x Tends to Zero $\lim_{x\rightarrow 0}\frac{1 – cosx}{\sin^2x}$

$\lim_{x\rightarrow 0}\frac{1 – cosx}{\sin^2x}$
= $\lim_{x\rightarrow 0}\frac{(1 – cos x )(1 + cos x)}{\sin^2x(1 + cos x)}$
= $\lim_{x\rightarrow 0}\frac{1 – cos^2x}{\sin^2x(1 + cosx)}$
= $\lim_{x\rightarrow 0}\frac{\sin^2x}{\sin^2x(1 + cosx)}$
= $\lim_{x\rightarrow 0}\frac{1}{1 + cosx}$
= $\frac{1}{1 + 1}$
= $\frac{1}{2}$

Leave a Comment

error: Content is protected !!