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1d
comment Compute limit $\lim_{n\rightarrow\infty}\frac{1*3*5*…*(2n-1) }{ 2*4*6*…*(2n)}=0$
the one in the body
1d
asked Compute limit $\lim_{n\rightarrow\infty}\frac{1*3*5*…*(2n-1) }{ 2*4*6*…*(2n)}=0$
1d
asked Series comparison test for $ \sum_1^\infty n^{\ln(n)} \ln(n^n)$
2d
asked How to show this $\lim_{n\rightarrow\infty} {\sqrt[n]{1+n^2}} =1$
Nov
10
accepted $ \sum_1^\infty (-1)^n \left(1 + \frac{2}{n^2}\right)^{n^2} $ series diverge
Nov
10
comment $ \sum_1^\infty (-1)^n \left(1 + \frac{2}{n^2}\right)^{n^2} $ series diverge
@BrianM.Scott yes.However according to what I know we cant tell for sure about Series. (only in case sequence limit is zero
Nov
10
comment $ \sum_1^\infty (-1)^n \left(1 + \frac{2}{n^2}\right)^{n^2} $ series diverge
I know the limit is $e^2$ But how does this help
Nov
10
asked $ \sum_1^\infty (-1)^n \left(1 + \frac{2}{n^2}\right)^{n^2} $ series diverge
Nov
10
accepted Prove that $\sum_{n=1}^{\infty}\frac{1}{n(n+1)\cdots(n+a)}=\frac{1}{aa!}$
Nov
10
comment Prove that $\sum_{n=1}^{\infty}\frac{1}{n(n+1)\cdots(n+a)}=\frac{1}{aa!}$
its a dupe ,.,,
Nov
10
comment Prove that $\sum_{n=1}^{\infty}\frac{1}{n(n+1)\cdots(n+a)}=\frac{1}{aa!}$
why the second sum results to $\frac{1}{u!}$ ?
Nov
10
comment Prove that $\sum_{n=1}^{\infty}\frac{1}{n(n+1)\cdots(n+a)}=\frac{1}{aa!}$
I have tried this but cant get any further.
Nov
10
asked Prove that $\sum_{n=1}^{\infty}\frac{1}{n(n+1)\cdots(n+a)}=\frac{1}{aa!}$
Sep
9
accepted Solve this differential equation $xy'(x)=y(ln(x)-ln(y))$
Sep
9
comment Solve this differential equation $xy'(x)=y(ln(x)-ln(y))$
yes I did a mistake . So then I just have to solve the equation. When I find g(x) its a bit tricky to get y(x). Thanks
Sep
9
comment Solve this differential equation $xy'(x)=y(ln(x)-ln(y))$
I come to a dead end. $g'(x)=lnx/x -e^{g(x)}/x$
Sep
9
comment Solve this differential equation $xy'(x)=y(ln(x)-ln(y))$
I have come to this ,but not sure what to do after. Should I use substitution ?
Sep
9
asked Solve this differential equation $xy'(x)=y(ln(x)-ln(y))$
Sep
6
comment Limit of this recursive sequence and convergence
my sequence with $a_0=5$ is increasing..
Sep
5
comment Limit of this recursive sequence and convergence
The fact that it converges to that limit how is it proved? Other answers proove the monotony only.is it enough ?