X- 0lim sin xx sin xx-sin x- 2ae Find a

x→ 0lim ( sin xx )^^sin xx sin x = x→ 0lim [ 1+sin x xx ]^^sin x ( sin x x ) = x→ 0lim [ 1+sin x xx ]^^xsin x x . sin xx = e^x→ 0lim sin x ...

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Algebra of Limits

x→ 0lim sin x...

Question

$l i m x \to 0 {(\frac{sin x}{x})}^{\frac{sin x}{x - sin x}} = \frac{2}{a e}$ Find $a$

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