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Algorithm to tell if an infinite sequence is random or not?

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#sequences-and-series #number-theory #algorithms #computer-science #dynamical-systems
15
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Series where each term is in GP along with range calculation.

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#sequences-and-series
2.4k
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$n$th derivative of $\tanh$

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#sequences-and-series #polynomials #definite-integrals #riemann-zeta
162
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Estimate convergence order of a sequence

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#sequences-and-series #asymptotics #rate-of-convergence
24.6k
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The Arithmetic Mean (A.M) between two numbers exceeds their Geometric Mean (G.M.)

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#sequences-and-series #algebra-precalculus #arithmetic-progressions #geometric-progressions
66
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If $x=\dfrac {1}{1+y}, y>0$, prove that:

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#sequences-and-series #algebra-precalculus
320
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Solve for $x, \ \frac{\pi}{5\sqrt{x + 2}} = \frac 12\sum_{i=0}^\infty\frac{(i!)^2}{x^{2i + 1}(2i + 1)!}$

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#sequences-and-series #summation #pi
38
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Closed form (or simplification) of recurrence sequence

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#sequences-and-series #recurrence-relations
81
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Find $\lim \limits_{n \to \infty}(n-\sum_{k=1}^n\cos{\frac{\sqrt{k}}{n})}$

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#sequences-and-series #limits #summation
126
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If $a,b,c$ be in Arithmetic Progression,

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#sequences-and-series #algebra-precalculus #arithmetic-progressions #geometric-progressions
292
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Find the limit of $a_{n+1}=\cos(a_n)$

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#calculus #real-analysis #sequences-and-series #limits
848
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Period of a binary sequence

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#sequences-and-series #finite-fields #cryptography #binary
66
Views

Show that $\lim_{n \to +\infty} \sqrt[n]{e^n - (\sqrt{e})^n} = e$

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#calculus #sequences-and-series
174
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How to investigate convernegce of $\sum_{n=1}^{+\infty} \frac{(2x)^n}{x^2n+\frac{70}{n}}$ for $x \in \mathbb{R}$

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#calculus #sequences-and-series
146
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Find $\lim_{n\to \infty} (1-\frac{1}{2}+\frac{1}{3}-...-\frac{1}{2n})$

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#sequences-and-series #limits

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