Mercy King
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 Apr 8 revised Infinite Series: $\sum_{n=1}^\infty \frac{1}{2^nn}$ added 2 characters in body; edited title Mar 12 revised How to prove $|y|\le |\sin(z)|\le e^{|y|}$ in complex analysis where $z=x+iy$? added 4 characters in body Feb 15 answered Calculus, Finding Integral of a quotient Jan 30 awarded Excavator Jan 30 revised How to find the eccentricity of this conic? added 7 characters in body Jan 20 awarded Yearling Jan 7 answered Evaluating - $\int_{|z| =R,R > 0} z^2 \big( \sin\big(\frac{1}{z}\big) + \sin\big(\frac{2}{z}\big) + …+ \sin\big(\frac{n}{z}\big) \big) dz$ Jan 4 answered Solving $e^{iz} = 1$ Dec 29 answered Simple limit of two functions Nov 26 awarded Nice Answer Nov 11 comment Prove the following equation NO! there is no typo. Try to list all the numbers of the form $2k-1$ for $k=1,2,3,\ldots$, and all those of the form $2k+1$ for $k=0,1,2,\ldots$ Nov 10 revised Find and prove the limit of $X_n=$ $\frac {n^{100}}{1.01^n}$ deleted 9 characters in body Nov 10 comment Prove the following equation It is $2k-1$ if you go from $k=1$ to $\infty$, but it is $2k+1$ if you go from $k=1$ to $\infty$. Nov 10 answered Prove the following equation Nov 10 revised Prove the following equation added 18 characters in body Nov 3 answered How to compute $\int_0^{+\infty} \frac{dt}{1+t^4} = \frac{\pi}{2\sqrt 2}.$ Oct 24 revised How do you prove that $tr(B^{T} A )$ is a inner product? added 2 characters in body Oct 21 answered Find and prove the limit of $X_n=$ $\frac {n^{100}}{1.01^n}$ Oct 19 revised Express ∑sin(kx)/k as the sum of a function and the integral of another function added 120 characters in body Oct 18 answered Show that $f(x,y)$ is differentiable at $(0,0)$