McLaurin expansion for $f(x)=e^{\sin{x}}$ of the 4:th order.
140381
Mclaurins with $e^{\sin(x)}$
64480
How do I find $\int_{0}^{\infty} \frac{\sin^4 x}{x^2}\,dx$?
10070
Complex analysis: Calculating $\int_{-\infty}^{\infty} \frac{\sin x}{x} dx$ by using $f(z) = \frac{e^{iz} - 1}{iz}$
91251
$n$th derivative of $e^{ax}\sin(bx+c)$
98344
Prove that $\int_0^1[f''(x)]^2dx\ge4.$
33201
What's the Maclaurin Series of $f(x)=\frac{1}{(1-x)^2}$?
152672
Liouville's Criterion and Integration of $\sin(z)/z$ using elementary functions
105207
function with isolated singularity on the unit circle and coefficients of its taylor expansion
70845
Contour method to show that $\int_0^\infty\frac{x-\sin x}{x^3} \, dx=\frac\pi4$
128795
$n$th derivative of $e^x \sin x$
14730
How prove this $\lim_{n\to \infty}\sin{n^m}$ divergent.
118253
Conditional expectation of $X$ given $\sin(X)$
150699
Show that if $f'$ is strictly increasing, then $\frac{f(x)}{x}$ is increasing over $(0,\infty)$
112089
Find the Maclaurin series of f(x)
123899
$\int_0^{+\infty}\frac{\sin(x)}{x^\alpha}dx=\frac{\Gamma(\alpha/2)\Gamma(1-\alpha/2)}{2\Gamma(\alpha)}$
36799
Maclaurin series for $\frac{x}{e^x-1}$
92627
How do we know the Taylor expansion for $e^x$ works for all $x$? Or that it's analytic?