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Question
\[\lim_{x \to 0} \frac{\sin x^n}{x^n}\]
Solution
\[\lim_{x \to 0} \frac{\sin x^n}{x^n}\] It is of the form\[\left( \frac{0}{0} \right)\]
\[\text{ Let } y = x^n \]
\[ \Rightarrow \lim_{x \to 0} = \lim_{y \to 0} \]
\[ \Rightarrow \lim_{y \to 0} \frac{\sin y}{y}\]
\[ \Rightarrow 1 \left\{ \because \lim_{x \to 0} \frac{\sin x}{x} = 1 \right\}\]
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