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Is it true that $\lim_{u\to 0}f\big(u,g(u)\big)=0$

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#real-analysis #sequences-and-series #analysis
75
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Definition of $l^\infty$ convergence

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#real-analysis #sequences-and-series #convergence-divergence #definition
210
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An Infinite Series Contradiction

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#sequences-and-series #fake-proofs
164
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Is it possible to express this sum exactly in closed form?

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#sequences-and-series
1.1k
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Evaluate $ \sum_{n=1}^\infty (a_n \cos \left( \frac{n\pi x}{L}\right) + b_n \sin \left(\frac{n\pi x}{L}\right))$

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#sequences-and-series
127
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Sum of terms of a sequence

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#sequences-and-series #recurrence-relations
2.4k
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Definition of convergence to infinity

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#real-analysis #sequences-and-series #convergence-divergence
59
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Maximal length of a finite real sequence

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#sequences-and-series #real-numbers
180
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Closed form for the sum $\sum_{n=-\infty}^{\infty}\sum_{m=-\infty}^{\infty}{\left(n^2+m^2\right)^{-{p}}}$

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#sequences-and-series #sums-of-squares
597
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Limit of a sequenced defined by arithmetic mean and geometric mean.

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#sequences-and-series #convergence-divergence #means
153
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How to show the equivalence of these two sums?

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#sequences-and-series #summation
188
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Finding the radius of convergence of a cubic Taylor series

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#sequences-and-series #power-series #taylor-expansion
53
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Study of a sequence of functions?

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#sequences-and-series #lebesgue-measure #sequence-of-function
581
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Sum of series $n\cdot\sin x^n$

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#calculus #sequences-and-series #summation
163
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Infinite product of the form $2-2^{1/k}$

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#sequences-and-series #infinite-product

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