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The Basic Properties of limit which are used here in this Question are :

$\lim_{x \rightarrow a} f^g = (\lim_{x \rightarrow a} f)^{(\lim_{x \rightarrow a} g)}$

$\lim_{x \rightarrow a} (f + g) = (\lim_{x \rightarrow a} f) + (\lim_{x \rightarrow a} g)$

And We can use this Trigonometric formula here :  $sin x = 2 sin (\frac{x}{2})cos(\frac{x}{2})$

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