lim _x → #160; πsin xx π The expression takes the form of 00 Using L hospiatls Rule #160; lim_x →πcos x= 1 ...

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lim x →πsin x...

Question

${lim}_{x \to π} \frac{sin x}{x - π}$

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Solution

${lim}_{x \to π} \frac{sin x}{x - π}$
The expression takes the form of $\frac{0}{0}$
Using L hospiatls Rule
${lim}_{x \to π} cos x = - 1$

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