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  4. The value of displaystyle lim x arrow 0 ( cos x/π-x) is

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Q. The value of $\displaystyle \lim _{x \rightarrow 0} \frac{\cos x}{\pi-x}$ is

Limits and Derivatives

Solution:

$\displaystyle \lim _{x \rightarrow 0} \frac{\cos x}{\pi-x}=\frac{1}{\pi-0}=\frac{1}{\pi}$