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Apr
20
reviewed Approve $\lim_{x\to\infty}{f(x)}=\lim_{x\to\infty}{g(x)}\Rightarrow\lim_{x\rightarrow\infty}{\frac{f(x)}{2^x}}=\lim_{x\rightarrow\infty}{\frac{g(x)}{2^x}}$?
Apr
20
comment Binomial Theorem of Differentiation?
You are welcome.
Apr
20
comment Binomial Theorem of Differentiation?
Yes . It will work you can use that method to prove the multinational but it will has longer terms. You may try to find the coefficients of $e^{xh}e^{yh}e^{zh}=e^{(x+y+z)h}$. Good luck
Apr
20
answered Binomial Theorem of Differentiation?
Apr
14
reviewed Approve How can you derive $\sin(x) = \sin(x+2\pi)$ from the Taylor series for $\sin(x)$?
Apr
3
comment Is there a formula for $\sum_{n=0}^{+\infty} q^{n^3}$?
Have you seen my question on the subject? I will be appreciated if you check.math.stackexchange.com/questions/358407/… Thanks
Apr
3
comment To evaluate $\int_0^{+\infty} \frac{\;\mathrm dx}{\sqrt[3]{x^3+a^3}\sqrt[3]{x^3+b^3}\sqrt[3]{x^3+c^3}}$
@Noam D. Elkis I think that you mistyped $x^3 = 1/t$, $dx = -t^{-2/3} dt/3$ . I have updated it as $dx = -t^{-4/3} dt/3$ . Thanks a lot for your great answer.
Apr
3
revised To evaluate $\int_0^{+\infty} \frac{\;\mathrm dx}{\sqrt[3]{x^3+a^3}\sqrt[3]{x^3+b^3}\sqrt[3]{x^3+c^3}}$
I have updated @Noam D. Elkies . Thanks a lot for your answer. I have noticed a mistake after your the change of variables . It should be $dx = -t^{-4/3} dt/3$ . Best Regards
Mar
30
revised Convert a 2D point to 3D on a plane
deleted 5 characters in body
Mar
30
answered Convert a 2D point to 3D on a plane
Mar
10
answered Differentiate $\sqrt{1+f(x)^2}/(1+f(x))$
Feb
12
comment General solution to ODE $ y''-Ay^5=0 $
You can use the same way as I showed for other similiar question.math.stackexchange.com/questions/166981/…
Jan
18
awarded  Popular Question
Jan
5
awarded  Yearling
Dec
21
awarded  Constituent
Dec
9
reviewed Approve In ΔABC prove that sides are in $AP$.
Dec
8
awarded  Caucus
Dec
5
answered Complex roots forming a equilateral triangle
Dec
2
revised Prove that $\lim_{m\to\infty} I_{2m}/I_{2m+1}=1$
edited title
Dec
2
answered Minimum value of an integral with least square?