2014年12月5日 · An easy way to compute the coefficients of the Taylor series of $\tanh$ is to consider that: $$\cosh(z)=\prod_{n=0}^{+\infty}\left(1+\frac{4z^2}{(2n+1)^2 \pi^2}\right ...

two integrals that got my attention because I really don't know how to solve them. They are a solution to the CDW equation below critical temperature of a 1D strongly correlated electron …

float fast_tanh(float x){ float x2 = x * x; float a = x * (135135.0f + x2 * (17325.0f + x2 * (378.0f + x2))); float b = 135135.0f + x2 * (62370.0f + x2 * (3150.0f + x2 * 28.0f)); return a / b; } I should …

I am a high school student and am trying to find the taylor expansion of $\tanh(x)$ in terms of a summation form. I have gotten this far, and am aware it might get complicated very quickly. If …

2015年6月3日 · $\begingroup$ Neither is a Maclaurin series, which has to look like $\sum a_n x^n$. You can do a formal division, and obtain after some pain a few terms.

Also $0\leq f(x)$, and if $0<x$: $$ (x\tanh x)' = \tanh x + x \operatorname{sech}^2x >0 . $$ It's not hard ...

2015年11月15日 · With l'Hôpital, compute the limit of the logarithm, that is, $$ \lim_{x\to\infty}x\log\tanh x= \lim_{x\to\infty}\frac{\log\tanh x}{1/x} $$ This is of the form $0/0 ...

I used the formula $$\frac{e^x - e^{-x}}{e^x + e^{-x}}$$ I calculated the inverse to find the range, but I got the incorrect answer. Please help me find the domain and range of $\tanh(x)$. calculus

2018年1月25日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …

Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …