Why does the Maclaurin series of sin(x) converge to sin(x)?
31387
Why is $\sin{x} = x -\frac{x^3}{3!} + \frac{x^5}{5!} - \cdots$ for all $x$?
90106
Why this :$\sum\limits_{n=1}^\infty\frac1{n\sin n}$ is not harmonic series and is convergent?
82532
A community project: prove (or disprove) that $\sum_{n\geq 1}\frac{\sin(2^n)}{n}$ is convergent
149360
convergence of $ \sum_{k=1}^\infty \sin^2(\frac 1 k)$
21970
Convergence of the Power Series for $xu''+\sin(x)u=0$
15031
Convergence test of the series $\sum\sin100n$
14031
Why does the series $\sum_{n=1}^\infty\frac1n$ not converge?
82391
Why does $\sum_{k=1}^{\infty}\frac{{\sin(k)}}{k}={\frac{\pi-1}{2}}$?
145335
Is $ \int_0^1{\frac{\sin x}{x}dx} $ convergent?
27423
Why does $\lim_{x\to 0^+} x^{\sin x}=1$?
16970
Convergence of $\sqrt{n}x_{n}$ where $x_{n+1} = \sin(x_{n})$
7881
For what values of $a$ does $\sum_{n=1}^\infty \left( 1+\frac12 + \dotsb + \frac1n \right) \frac{\sin (na)}{n}$ converge?
123108
Does the series $ \sum\limits_{n=1}^{\infty} \frac{1}{n^{1 + |\sin(n)|}} $ converge or diverge?
48625
Maclaurin series question
129078
Proving the series $\sum_{n=0}^{\infty}\sin(e\pi n!)$ converges
19865
Convergence/Divergence of infinite series $\sum_{n=1}^{\infty} \frac{(\sin n+2)^n}{n3^n}$
141218
Does $\sum_{n=1}^{\infty} \frac{\sin(n)}{n}$ converge conditionally?