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15
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Uniform convergence of power series to $0$

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#real-analysis #sequences-and-series #convergence-divergence #power-series #uniform-convergence
80
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Proved that the given set is not closed in the function space $\mathcal{C}([0,1])$

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#real-analysis #metric-spaces #uniform-convergence #arzela-ascoli
56
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"Uniform and Absolute Convergence"

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#sequences-and-series #complex-analysis #convergence-divergence #uniform-convergence
69
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Observing the limiting behavior of the ODE $z' = z(z-a)(1-z)$

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#ordinary-differential-equations #limits #partial-differential-equations #uniform-convergence
74
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How to prove that the convergence of the sequence $f_n(x) = \Big(1+\frac{1}{nx}\Big)^{nx}$ is not uniform.

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#real-analysis #sequences-and-series #limits #uniform-convergence #pointwise-convergence
128
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Prove that the sequence of functions $f_n$ is equicontinuos, but with not uniformly convergent subsequence in $(0,1)$.

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#real-analysis #analysis #uniform-convergence #sequence-of-function #equicontinuity
39
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Strategy of the proof that a given set is dense

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#real-analysis #general-topology #uniform-convergence
25
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Integration of a sequence of bounded functions wihout an upperbound $\mu-integrable$ function $g$

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#integration #measure-theory #uniform-convergence
217
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Proof of uniform convergence of an infinite product

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#complex-analysis #proof-explanation #uniform-convergence #infinite-product
42
Views

Determine whether $f_n(x)= n\int_0^{1/n} f(x-u) du$ uniformly converges to $f$ or not.

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#real-analysis #calculus #uniform-convergence
87
Views

Proof of limit of uniformly convergent sequence of continuously differentiable functions

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#real-analysis #derivatives #solution-verification #uniform-convergence
21
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searching for a metric, which doesn‘t meterable uniformly on compacts in probability

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#probability #metric-spaces #examples-counterexamples #uniform-convergence #stochastic-analysis
101
Views

Can we define a product for almost convergent sequences?

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#limits #convergence-divergence #uniform-convergence #real-numbers
30
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Prove formally that $v_n(t)\to v(t)$ uniformly

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#real-analysis #calculus #sequences-and-series #uniform-convergence
106
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About the convergence of Lipschitz sequence of functions

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#real-analysis #calculus #sequences-and-series #uniform-convergence

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