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Limit of a non linear recursive sequence

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#calculus #real-analysis #sequences-and-series #analysis
174
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Find the sum of the infinite series $1+ \frac{1}{2!}+ \frac{1}{4!}+\dotsb$

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#sequences-and-series #limits #summation
3.9k
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How to find MacLaurin polynomial of high degree

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#calculus #sequences-and-series #taylor-expansion
107
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Convergence of series $\sum_{n=1}^{\infty}\frac{1}{2^{n-1}+3}$

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#sequences-and-series
172
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Show that if $x_n ≥ -1$ for all n $\in \mathbb{N}$ and $ \lim_{n \to \infty}(x_n)=0 $

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#real-analysis #sequences-and-series
42
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Is there a difference between these two statements concerning sequences

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#sequences-and-series #inequality #notation
92
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Counterexample of the existence of length minimizer in Banach space

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#sequences-and-series #functional-analysis
947
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Weak convergence of measures implying almost sure convergence of random variables

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#sequences-and-series #measure-theory #convergence-divergence #weak-convergence #almost-everywhere
36
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Sum of reciprocals of full reptend prime

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#sequences-and-series #prime-numbers
151
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Is $\sum_{n=1}^\infty \frac{\sin (\frac x n ) }{n}$ uniformly convergent?

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#real-analysis #sequences-and-series #uniform-convergence
32
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Special Upper Bound Kolmogorov Distribution and Integral

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#sequences-and-series #probability-distributions #convergence-divergence
88
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Convergence of $\sum_{n=1}^{\infty}\left(\left(\sqrt{n}\right)\left(n^{\cos(\frac{1}{n^{\alpha}})}-n-\cos\left(\frac{1}{n}\right)\right)\right)^{-1}$

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#real-analysis #sequences-and-series
154
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Other approaches concerning the series $\sum_{n=1}^{\infty} \frac{\sin(n)}{n!}$

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#sequences-and-series
94
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Prove that if the functional sequence ‎$xf(n) + \sum_{k=1}^n f(k)$ ‎is ‎convergent‎ ‎then the sequence ‎$‎f(n)$ ‎is ‎convergent

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#calculus #real-analysis #sequences-and-series
100
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‎Find some examples which have this property $‎\lim‎_{n\to{‎\infty‎}}f(n+x)\neq\lim‎_{n\to{‎\infty‎}}f(n)$‎.

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#calculus #real-analysis #sequences-and-series

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