I would like to calculate the Riemann sum of $\mathrm{sin}(x)$. Fun starts here:

$R=\frac{\pi}{n}\sum _{j=1}^{n}\mathrm{sin}(\frac{\pi}{n}\cdot j)$

$R=\frac{\pi}{n}\sum _{j=1}^{n}\mathrm{sin}(\frac{\pi}{n}\cdot j)$

Kaeden Hoffman
2022-06-30
Answered

I would like to calculate the Riemann sum of $\mathrm{sin}(x)$. Fun starts here:

$R=\frac{\pi}{n}\sum _{j=1}^{n}\mathrm{sin}(\frac{\pi}{n}\cdot j)$

$R=\frac{\pi}{n}\sum _{j=1}^{n}\mathrm{sin}(\frac{\pi}{n}\cdot j)$

You can still ask an expert for help

asked 2022-04-24

How could we prove this ?

$\sum _{i=1}^{n}({i}^{2}+3i+1)\times i!=(n+3)\times (n+1)!-3$

asked 2022-06-25

Upper bound for a series $r\in (0,1)$ for $r\in (0,1)$

asked 2021-02-05

Find the sum of the following series

$\sum _{k=2}^{\mathrm{\infty}}(-1{)}^{k}\frac{3}{{2}^{3k}}$

asked 2020-10-25

Find the sum of the convergent series.

$\sum _{n=1}^{\mathrm{\infty}}\frac{1}{9{n}^{2}+3n-2}$

asked 2021-10-19

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that $Rn\left(x\right)\to 0$ .] Also find the associated radius of convergence. $f\left(x\right)={2}^{x}$

asked 2022-02-24

I want to evaluate the sum

$\sum _{n=2}^{\mathrm{\infty}}\frac{{n}^{4}+3{n}^{2}+10n+10}{{2}^{n}({n}^{4}+4)}$

asked 2021-02-18

For each series, find an explicit formula for the sequence of partial sums and determine if the series converges.

$\sum _{n=1}^{\mathrm{\infty}}\frac{1}{n(n+1)}$