Limit for natural logarithm:
$$\lim_{x \to 0} \frac{\ln(1 + x)}{x} = 1$$
Also holds for $$\lim_{x \to 0} \frac{\log_a(1 + x)}{x} = \frac{1}{\ln a}$$.
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CAT Formulas
Limits
Logarithmic Limit
Limit for natural logarithm:
$$\lim_{x \to 0} \frac{\ln(1 + x)}{x} = 1$$
Also holds for $$\lim_{x \to 0} \frac{\log_a(1 + x)}{x} = \frac{1}{\ln a}$$.
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