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- $$ \lim_{x \to 0} \frac{\sin x}{x} = 1 $$
- $$ \lim_{x \to 0} \frac{1 - \cos x}{x^2} = \frac{1}{2} $$
- $$ \lim_{x \to 0} \frac{\tan x}{x} = 1 $$
- $$ \lim_{x \to 0} \frac{e^x - 1}{x} = 1 $$
- $$ \lim_{x \to 0} \frac{\log(1 + x)}{x} = 1 $$
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