Saturday, September 23, 2017

sequences and series - Formula for the following sum?

I simply wonder if it exists a formula for the sum $S_n = \sum_{k=1}^{n} k^k$ ? If it does, then what is it? If not, how do we know that?

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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...