Wednesday, December 5, 2018

calculus - How can I deduce that $limlimits_{xto0} frac{ln(1+x)}x=1$ without Taylor series or L'Hospital's rule?

How can I calculate this limit without Taylor series and L'Hospital's rule?
$$\lim _{x\to0} \frac{\ln(1+x)}x=1$$

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analysis - Injection, making bijection

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