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Mar
28
comment Solve for $x$ using the lambert W function $ \frac{\ln(1+bx)}{x} = a$
@tired: It is the first answer to be posted! Don't you see where the OP is stuck? Yet I have a history on this website for solving such equations!!
Mar
27
revised Solve for $x$ using the lambert W function $ \frac{\ln(1+bx)}{x} = a$
added 137 characters in body
Mar
27
answered Solve for $x$ using the lambert W function $ \frac{\ln(1+bx)}{x} = a$
Mar
27
comment Show that $\frac{\pi^2}{12} = \sum^\infty_{k=1}\frac 1 {k^2}$ using Fourier series
In fact I gave my answer to the OP to work out the details! Since he is the learner of this subject!!
Mar
27
comment Show that $\frac{\pi^2}{12} = \sum^\infty_{k=1}\frac 1 {k^2}$ using Fourier series
I posted an answer which has the correct idea to solve the problem! It was converted to a comment by a moderator! People weigh an answer by its content not how long it is!
Mar
26
comment Complex - Testing Convergence for $\sum_{n=1}^{\infty} n^{2}z^{n}$
We like to help but there is some turbulence on this website! Whenever I post they just downvote which is an immature act!
Mar
26
comment find the closed form of $a_n=3a_{\lceil n/2 \rceil}+1$, $a_1=1$
Yesterday I wanted to post the same answer you have! (+1).
Mar
26
comment Show that $\frac{\pi^2}{12} = \sum^\infty_{k=1}\frac 1 {k^2}$ using Fourier series
Note that your function is periodic on the interval $[-2,2]$ instead of the interval $[-\pi, \pi] $ so you need to make a change of variables. For this see equations 11-16.
Mar
23
comment Can we find a general $\delta$ to prove the continuity of polynomials?
I like your question!
Mar
23
comment Sobolev space of a function
Just review the definition of Sobolv spaces!
Mar
22
comment Matlab Newton-Raphson for x-tan(x)
The left hand side of the equation in the code should be $x(i+1)$.
Mar
21
comment Are these functions Riemann integrable on $[0,1]$ using this theorem?
@Rainroad: This result concerns Riemann integrability!
Mar
21
comment $f(z) = \frac{1}{z^2-2z+2}$ - $|f^{n}(0)| \leq n!$ - Cauchy inequality
Do you know the formula $f^{(n)} (0)=\frac{n!}{2\pi i} \int_{C} \frac{f(z)} {z^{n+1}} dz$?
Mar
21
comment Are these functions Riemann integrable on $[0,1]$ using this theorem?
@Ian: This is what he needs!
Mar
21
answered Are these functions Riemann integrable on $[0,1]$ using this theorem?
Mar
21
comment Continuous expansion of an holomorphic function
Just note that the function has only one pole on the boundaries!
Mar
21
comment Calculate the limit of: $x_n = \frac{\ln(1+\sqrt{n}+\sqrt[3]{n})}{\ln(1 + \sqrt[3]{n} + \sqrt[4]{n})}$, $n \rightarrow \infty$
You got the right answer!
Mar
20
answered Valid Induction Argument involving Closed Form for $\Gamma(1/2-n)$
Mar
20
comment Prove $ \dfrac{2\ln(\cos x)}{x^2}<\dfrac{x^2}{12}-1$
Have you tried to find Taylor series for the left hand side of the inequality?
Mar
20
comment What is the difference between open intervals and standard topology on $\mathbb{R}$
Arbitrary intersection of open intervals is not open in general!