Riemann Sum look-alike
125070
How to calculate the limit $\lim _{n\to \infty }\sum _{k=1}^n\sqrt{n^4+k}\sin(\frac{2k\pi }{n})$? Is it a Riemann sum?
151111
How do I show that $\frac{n}{\varphi(n)}=\sum\limits_{d \mid n} \frac{\mu^2(d)}{\varphi(d)}$?
153949
Is there a "smallest" divergent sum?
55061
Evaluating the sum after reordering an infinite series $1-\frac {1} {2}+\frac {1} {3}-\frac {1} {4}+\ldots $
140458
Infinite summation involving exponents
21606
Can all real numbers be represented by the sum of a convergent series?
52774
Computing an infinite sum using the Residue theorem
150971
If $f$ is Riemann integrable on $[0,1]$ then $\lim\limits_{n\rightarrow\infty}\frac{1}{n}\sum f\left(\frac{k}{n}\right)=\int\limits_{0}^{1} f(x)dx$
70841
A simple series $\sum_{i=1}^\infty \frac{i}{2^i} = 2$
78473
Showing $ \sum_{n=0}^{\infty} \frac{1}{(3n+1)(3n+2)}=\frac{\pi}{3\sqrt{3}}$
1133
Information about Riemann Zeta function
157946
Elementary derivation of certian identites related to the Riemannian Zeta function and the Euler-Mascheroni Constant
86405
Trivial zeros of the Riemann Zeta function
113713
Closed formula for the sum of the following series
140172
How to compute the Riemann sum of $x^n$ for any positive integer $n$?
55694
Why is the upper Riemann integral the infimum of all upper sums?
99809
Show that$\displaystyle\sum_{n=1}^\infty\frac{\sin( nz)}{n}$ diverges if $\mathfrak{Im} \,(z)\neq0$