Solve #160; lim_x→πsin(π x)/π (π x) = ? it is 0/0 form #160;so by L Hospital Rule #160; #160; lim_x→π cos(π x)/ π #160; lim_x→πcos(π ...

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Algebra of Limits

Solve : limx...

Question

Solve :
${lim}_{x \to π} \frac{sin (π - x)}{π (π - x)}$

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Solution

Solve
${lim}_{x \to π} \frac{s i n (π - x)}{π (π - x)} = ?$
it is $\frac{0}{0}$ form
so by L-Hospital Rule
${lim}_{x \to π} \frac{- c o s (π - x)}{- π}$
${lim}_{x \to π} \frac{c o s (π - x)}{π}$
$\frac{c o s o}{π} = \frac{1}{π}$

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