Thursday, September 24, 2015

calculus - What is the sum of the series $sumlimits _{k=1}^infty frac{1}{k^2}$?




What is $\lim \limits_{n\to\infty} \sum\limits_{k=1}^n \frac{1}{k^2}$ as an exact value?

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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...