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15
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Problem: Finding the limit of a sequence

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#sequences-and-series #limits
111
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Prove irrationality of $\sqrt{2}$

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#sequences-and-series #summation
134
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Give an example of a series $\sum a_n$ such that $\sum a_n$ is convergent but $\sum a_{3n}$ is divergent.

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#real-analysis #sequences-and-series
127
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Prove or disprove a statement about subsequences

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#real-analysis #sequences-and-series
44
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Prove Sn of $Ur ={1/n!} - {2/(n+1)!} +{ 1/(n+2)!}$

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#sequences-and-series
241
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Does the sequence $(a_n)_{n\in\mathbb{N}}$ have a convergent subsequence?

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#real-analysis #sequences-and-series
109
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Properties of the recurrent sum of cubes of the digits of integers

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#sequences-and-series #number-theory #recursion #integers
29
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Proof Involving Sequence Convergence

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#sequences-and-series #proof-verification
213
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What is the series representation of $\int_{0}^{t} \exp(-x^n)\, dx$ where $n$ is a positive integer?

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#integration #sequences-and-series #hypergeometric-function #error-function
35
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Sequences of non-negative terms.

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#sequences-and-series
72
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Evaluate$\lim\limits_{n\to+\infty}a_n$.

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#sequences-and-series #limits #recurrence-relations
101
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Series convergence with log and exponential function

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#sequences-and-series #convergence-divergence #logarithms
133
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Test the series for convergence or divergence

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#sequences-and-series #convergence-divergence
81
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Is this the correct way to find the value of $(-1)^{1/2}$?

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#calculus #sequences-and-series #limits #derivatives #taylor-expansion
37
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Estimate for discrete convolutions

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#sequences-and-series #analysis #power-series

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