General Sine Ratio

Rarely Tested

General Sine Ratio

If:

$$u(x)\to0,\quad v(x)\to0$$

then:

$$\lim_{x\to a}\frac{\sin u(x)}{\sin v(x)}=\lim_{x\to a}\frac{u(x)}{v(x)}$$

provided the latter limit exists.

Usage

- Used to simplify ratios of small sine expressions.

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