Vault Of Euclid

Limit of ln(1+x)/x as x approaches 0

Logarithmic and exponential functions warmup

Evaluate \( \lim_{x\to 0} \frac{\ln (1+x)}{x} \).

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What you need first

The limit definition of the derivative
The derivative of the natural logarithm function
The value of ln(1)

What this problem tests

Tests the ability to recognize the limit definition of a derivative in disguise.

This is a fundamental limit often encountered in early calculus courses when introducing the derivatives of logarithmic and exponential functions.

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