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comment Compute limit $\lim_{n\rightarrow\infty}\frac{1*3*5*…*(2n-1) }{ 2*4*6*…*(2n)}=0$
the one in the body
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
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.
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
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 ?
Sep
5
comment Convergence and limit of a recursive sequence
Next, we observe that {xn} is upper bounded by 1+2p√.How is this found guessed?
Sep
4
comment Bound of sequence
so it is correct to say that $|a_n|<1$ (boundary)
Sep
4
comment Bound of sequence
Yes I thought that it should be a real number. However I found 2 as $(n+1)/n^2$ seems decreasing.
Sep
4
comment Bound of sequence
I have to prove that sequence is bounded below and above. But dont know how to do it.
Sep
4
comment Bound of sequence
I dont know how to find the bound from that
Sep
4
comment Bound of sequence
then i get $\frac{n+1}{n^2}$ all examples I have seen are basic.
Sep
4
comment Decreasing sequence proof
I was refering to the related type en.wikipedia.org/wiki/Bernoulli%27s_inequality
Sep
4
comment Explain the steps for finding the upper bound of a sequence
how did you figure out 4n-1 ?
Jun
29
comment Can this be simplified?
how did -4/3 become 2/3 ?