Saturday, October 6, 2018

calculus - Prove this restriction with the Mean Value Theorem

I don't have any idea how to prove this by using the Mean Value Theorem:
$$\frac{1}{n+1} \leq \ln(n+1)-\ln(n) \leq \frac{1}{n}$$

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analysis - Injection, making bijection

I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...