Is there a simple, but tight lower bound for the error made when $\sum_{n=1}^{k}\frac{1}{n^2}$ is used to approximate $\frac{\pi^2}{6}$?
124248
$1+\frac {1}{4}(1+\frac {1}{4}) +\frac {1}{9}(1+\frac {1}{4} +\frac {1}{9})+....$
97720
Asymptotic behavior of $\sum\limits_{k=1}^n \frac{1}{k^{\alpha}}$ for $\alpha > \frac{1}{2}$
132732
Estimate of n factorial: $n^{\frac{n}{2}} \le n! \le \left(\frac{n+1}{2}\right)^{n}$
20471
Evaluating a slow sum
56961
Evaluate the limit of $\sum_{n=1}^{\infty}\frac{n^2}{n!}$
126304
Determining bounds for the sum $\sum\limits_{n=1}^\infty \frac{1}{2^n - 3^n }$
107789
Sum of $\sum \limits_{n=0}^{\infty} \frac{1}{(kn)!}$
129801
Finding a closed form for $\sum^{n}_{k=1} \frac{k}{(k+1)!} $
127459
Approximating a multinomial as $p(\xi_1,\ldots,\xi_N)\propto\exp\left(-\frac{n}{2}\sum_{i=1}^N\frac{(\xi_i-p_i)^2}{p_i}\right)$
50555
Approximation of real number to the power of irrational
17713
What's the value of $\sum\limits_{k=1}^{\infty}\frac{k^2}{k!}$?
87900
Does $\frac{n}{\sum\limits_{k=1}^{n}\Big(\frac{k}{k+1}\Big)^k}$ converge?
137232
Bounds for the Harmonic k-th partial sum.
32423
Convergence of $\sum _{k=1}^\infty (1-\frac{1}{k})^{k^2}$
6223
Problem regarding radius of convergence of $\sum n!x^{n^2}$.
65993
Does $\sum_{k=1}^\infty\frac1{k^n}$ converge for $\Re(n)=1,\Im(n)\ne0$?
51671
lower bounding logarithm of sums