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Series termination

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#summation
78
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Prove the inequality.

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#inequality #summation
7.7k
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Solving $T(n)= 2T(n/2) + \sqrt{n}$ without master theorem (algebraically & recurrence tree)

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#algorithms #summation #asymptotics #recurrence-relations
155
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Integral approach for infinite sum of $e^{-n}$

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#calculus #real-analysis #integration #sequences-and-series #summation
73
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Evaluating sum of $\sum_{i=0}^{n} 2^{i/2}$

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#algebra-precalculus #summation
418
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Proving $\sum^{n}_{k=1} \frac{1}{\sqrt{k}}>\sqrt{n}$ by induction

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#inequality #summation #proof-writing #induction #radicals
220
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Prove Jensen's inequality

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#inequality #summation
290
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Proving this formula $1+\sum_{n=0}^{\infty }\frac{1}{\pi \left(2n+\frac{3}{4}\right)\left(2n+\frac{5}{4}\right)}=\sqrt2$

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#sequences-and-series #summation
552
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Show that $\sum\limits_{k=1}^\infty \frac{1}{k(k+1)(k+2)\cdots (k+p)}=\frac{1}{p!p} $ for every positive integer $p$

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#real-analysis #sequences-and-series #analysis #convergence-divergence #summation
24.6k
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Is it possible to write a sum as an integral to solve it?

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#calculus #real-analysis #integration #sequences-and-series #summation
98
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A limit related to the $\zeta(3)$ and the fractional part

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#calculus #real-analysis #sequences-and-series #limits #summation
1.2k
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Sum notation of a tuple or set

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#notation #summation
190
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Prove that $\lim_{n\to \infty} \sum_{i=1} ^n\frac{1}{n+i}=\ln2 $

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#limits #summation
131
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Finding a bound for $\sum_{n=k}^l \frac{z^n}{n}$

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#inequality #summation #power-series
119
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Deriving a formula to find the sum of a series.

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#sequences-and-series #summation

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