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Apr
16
asked When is $\sin\colon\mathbb{C}\to\mathbb{C}$ purely real/imaginary?
Apr
15
comment Calculating exponential limit
First of all What have you tried thus far and why do you think you know the result? and furthermore did you mix up $n$ and $x$ variables? What is $x$?
Apr
11
awarded  Popular Question
Apr
9
accepted Issues computing $\int\cos^2x~\mathrm{d}x$ without using $\sin^2(x)=1-\cos^2(x)$
Apr
9
accepted Simplify $(n+1)^{1/\sqrt{n}}$ and $(n^2+1)^{1/n}$
Apr
1
comment Simplify $(n+1)^{1/\sqrt{n}}$ and $(n^2+1)^{1/n}$
Yeah I was considering $\sqrt[n]{n}\to 1$ as well but couldn't really compare the sequences to this root.
Apr
1
asked Simplify $(n+1)^{1/\sqrt{n}}$ and $(n^2+1)^{1/n}$
Mar
30
comment Issues computing $\int\cos^2x~\mathrm{d}x$ without using $\sin^2(x)=1-\cos^2(x)$
I know that I am going round and round but I was curious whether there is a more thorough explanation why besides $(\cos x)''=-\cos x$.
Mar
29
revised Issues computing $\int\cos^2x~\mathrm{d}x$ without using $\sin^2(x)=1-\cos^2(x)$
added 1 character in body
Mar
29
comment Issues computing $\int\cos^2x~\mathrm{d}x$ without using $\sin^2(x)=1-\cos^2(x)$
@YuriyS Chosing between $\sin x$ and $\sin x$ can yields different results - it the same :P
Mar
29
asked Issues computing $\int\cos^2x~\mathrm{d}x$ without using $\sin^2(x)=1-\cos^2(x)$
Mar
26
answered Prove the series $\sum_{n=1}^∞ (-1)^n(n)/(n+2)$ diverges
Mar
26
comment Prove the series $\sum_{n=1}^∞ (-1)^n(n)/(n+2)$ diverges
@Garrett $$\frac{n}{n+2}=\frac{1}{1+2/n}\overset{n\to\infty}{\longrightarrow}1\neq 0$$
Mar
24
accepted Show $\sum_{k=1}^\infty \frac{k^2}{k!} = 2\mathrm{e}$
Mar
24
asked Show $\sum_{k=1}^\infty \frac{k^2}{k!} = 2\mathrm{e}$
Feb
25
awarded  Nice Question
Feb
23
revised How many ways in which distinct people can get off a train
included binomial as formula
Feb
23
suggested approved edit on How many ways in which distinct people can get off a train
Feb
12
accepted Deducing the series expansion of $\arctan(x^2)$ via the series expansion of $\arctan(x)$ at $x=0$
Feb
12
comment Deducing the series expansion of $\arctan(x^2)$ via the series expansion of $\arctan(x)$ at $x=0$
So we must show that the replacement still yields a valid power series and that it has the same radius of convergence?