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Mhenni Benghorbal
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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!