How do i evaluate :
$$\sum_{n=1}^{\infty} n^{3}x^{n-1}$$
The answer is supposed to be: (according to wolfram alpha)
$$ \frac{x^2+4x+1}{(x-1)^4} $$
I have only learned to to this for simpler geometric sums.
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...
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