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calculus - express $\sum_ {n=1}^ {\infty}\frac {nx^n} { (n+1)!}$ as ...
Mar 31, 2021 · For this question, I am asked to express $\sum_ {n=1}^ {\infty}\frac {nx^n} { (n+1)!}$ as elementary functions (for example, $\log x, x^2, \sqrt {x}$, etc) List of ...
real analysis - Mathematics Stack Exchange
Aug 23, 2020 · @marcelolpjunior Your above comment on this answer tells you exactly what you would need to do next. If you are not familiar with summation notation, you will have to look …
Hypergeometric 2F1 with negative c - Mathematics Stack Exchange
Jan 17, 2015 · What's wrong with giving negative parameters to the gamma function?
mathematical induction ($(1+x)^n\\ge1+nx+n(n-1)x^2/2$)
Dec 25, 2014 · @user73980 I know, but you said "so for the base case I have $x=1$ and I think you wanted to say $n=1$, since it's an induction on $n$ and not in $x$. And as said ...