Find limx2cos(/x)x 2 .Hint: Let t = 2 x

Chapter 1, Problem 52

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Find $\lim \limits_{x \rightarrow 2} \frac{\cos (\pi / x)}{x-2} . \quad\left[\text { Hint }: \text { Let } t=\frac{\pi}{2}-\frac{\pi}{x} .\right]$

Equation Transcription:

$\lim\limits_{{x} \rightarrow {2}}$ $\frac{cos\ (\pi{}/x)}{x\ -\ 2}$ t = $\frac{\pi{}}{2}$ $-$ $\frac{\pi{}}{x}$

Text Transcription:

lim_x right arrow 2 cos (pi/x)/x-2 t = pi/2 - pi/x

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