Christian Ivicevic
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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?