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15
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Considering the next succession, prove by induction that $b_n<0$ for $n \ge 2$ - Is this correct?

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#calculus #sequences-and-series #discrete-mathematics #induction
135
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Finding $\Sigma\frac{(n+1)(n+2)}{2!}$ .

Published on
#sequences-and-series #summation #telescopic-series
1k
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Understanding a definition of convergence

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#real-analysis #sequences-and-series #convergence-divergence
93
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A Confusing Limit

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#sequences-and-series #limits #exponential-function
115
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I found a weird occurrence with equal angle polygons and sine waves and i need help proving it

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#sequences-and-series #trigonometry #polygons #angle #trigonometric-series
2.2k
Views

Bounds for the Harmonic k-th partial sum.

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#sequences-and-series #divergent-series #bounds-of-integration
306
Views

Calculate Fourier series and explicitly sum it for x=0

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#sequences-and-series #fourier-series
784
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$\sum_{-\infty}^{+\infty}\frac{\exp(-n^2)}{1-4n^2}$ in closed form?

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#sequences-and-series #convergence-divergence #closed-form
300
Views

Series $\sum_{n=1}^{\infty}(-1)^n\frac{n}{(2n-1)^2}$

Published on
#integration #sequences-and-series #catalans-constant
81
Views

Finding maximum using elementary calculus. (Using Derivatives)

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#calculus #sequences-and-series #derivatives #optimization #taylor-expansion
480
Views

Maximizing by setting Derivative equal to 0. Stuck (struggling)

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#calculus #sequences-and-series #derivatives #optimization #taylor-expansion
166
Views

Function for the sequence $0,0,1,0,0,1,...$

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#sequences-and-series
30
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Example of a sequence with certain decay properties

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#real-analysis #sequences-and-series #estimation
211
Views

Show that $\sin n^2$ is divergent.

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#sequences-and-series
101
Views

How to evaluate this sum $\sum_{k=1}^{n}{n \choose k}(-2)^k\cdot \frac{1-2^{-k}}{k}$

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#integration #sequences-and-series #trigonometric-integrals

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