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If $a$, $b$, $c$ are three positive numbers in harmonic sequence, show that $a^2+c^2>2b^2$.

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#sequences-and-series #harmonic-numbers #arithmetic-progressions
1.2k
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What is $l^2(\mathbb{Z}^2)$?

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#sequences-and-series #harmonic-analysis
1k
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Epsilon - Delta proof of limit properties at infinity.

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#real-analysis #sequences-and-series #limits #epsilon-delta
123
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On an inequality inspired in the definition of strong primes and the Firoozbakht's conjecture

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#sequences-and-series #inequality #prime-numbers #analytic-number-theory #conjectures
66
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Pointwise and uniform convergence of series

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#real-analysis #sequences-and-series
84
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prove that $\{a_n\}_{n=1}^{\infty}$ is bounded and monotone increasing.

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#real-analysis #sequences-and-series
25
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proof $\{a_n\}$ is bounded (check)

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#real-analysis #sequences-and-series
26
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Basis for photo panorama stitching

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#sequences-and-series #differential-geometry #transformation #plane-geometry
49
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Why do I get that $0 = 1$ when trying to prove that $\forall n\in\mathbb{N}, \ 3 + 2\left(n + \sum_{i=1}^{2n-1}(i+1)\right) = (2n+1)^2\,?$

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#sequences-and-series #proof-verification #summation #proof-explanation
68
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Laurent Series Expansion and Convergence Proof

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#sequences-and-series #complex-analysis #complex-numbers #binomial-coefficients #laurent-series
98
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Convergence/Divergence of a real series

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#sequences-and-series
53
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find the limits of the given sequence?

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#real-analysis #sequences-and-series #limits #convergence-divergence
163
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A series that converges to π/3

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#sequences-and-series #number-theory #complex-numbers #pi #tessellations
180
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$\lim s_n = 0$ implies $\lim \sqrt{s_n} = 0$ for non negative $(s_n)_{n=1}^{\infty}$

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#real-analysis #sequences-and-series #proof-verification #epsilon-delta
74
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Finding limit of I(n)..

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#calculus #integration #sequences-and-series #limits

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