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Are there integral solutions for $(2a-1)(2^{(b+c)}-3^c )=2^b-1$?

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#sequences-and-series #number-theory #collatz-conjecture
5.1k
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Summation problem: $f(x)=1+\sum_{n=1}^{\infty}\frac{x^n}{n}$

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#calculus #sequences-and-series #convergence-divergence #power-series #sequence-of-function
83
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Dealing with $e^{n/4}n^{-(n+1)/2}(1^1 2^2...n^n)^{1/n}$

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#calculus #real-analysis #sequences-and-series
428
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Radius of convergence $\sum_{k=1}^{\infty} {{k^33^{-k!}}(x-3)^{k!}}$

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#real-analysis #sequences-and-series #convergence-divergence #power-series
96
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How can i put a log inside an infinite sum?

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#sequences-and-series #complex-analysis #complex-numbers #infinity
170
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Function $f$ s.t. $\lim_{x\to\infty}\frac{f(e^x)}{f(x)}=1$

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#real-analysis #sequences-and-series #limits #divergent-series #tetration
3.3k
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Summation with multiple variables seprated by comma.

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#sequences-and-series #summation #direct-sum
66
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Equality of functions on real numbers implies equality on rationals?

Published on
#real-analysis #sequences-and-series #functions #summation #functional-inequalities
40
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Convergence of a Series of measures

Published on
#sequences-and-series #measure-theory #lp-spaces
107
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Convergence of sequence where every subsequence of specific type converges

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#real-analysis #sequences-and-series
33
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Infinite linear combination of linearly independent reals equaling 0

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#real-analysis #sequences-and-series
221
Views

Show $\frac1{k-1}+\frac 6k-\frac{7}{k+1}=\frac{8k-6}{k(k^2-1)}$, deduce $\sum\limits_{k = 2}^n\frac{4k-3}{k(k^2-1)}$

Published on
#sequences-and-series #summation
267
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Does $\frac{a_{n+1}}{a_n} < (\frac{n}{n+1})^2$ imply $\sum a_n <\infty$ here?

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#real-analysis #sequences-and-series
57
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Need a refresher don't know where to start.

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#sequences-and-series
66
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What is nth term of sequence $a_n$?

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#sequences-and-series #combinatorics

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