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Important Limit Involving $$\sin x$$
For any positive integer $$n$$:
$$\lim_{x\to0}\frac{\sin x}{x}=1$$
and therefore:
$$\lim_{x\to0}\frac{\sin^n x}{x^n}=1$$
Usage
- Used when powers of sine occur in the numerator.
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Important Limit Involving $$\sin x$$
For any positive integer $$n$$:
$$\lim_{x\to0}\frac{\sin x}{x}=1$$
and therefore:
$$\lim_{x\to0}\frac{\sin^n x}{x^n}=1$$
Usage
- Used when powers of sine occur in the numerator.
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