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How to prove uniform convergence for sequences $f_n=x^n(1−x)$ on $[0,1]$

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#uniform-convergence #cauchy-sequences
61
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A question about definition of uniform convergence

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#improper-integrals #uniform-convergence
71
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Uniform convergence of exponential distribution function

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#uniform-convergence #exponential-distribution
84
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proving gn has a uniformly convergent subsequence

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#real-analysis #measure-theory #uniform-convergence
1.2k
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Uniform limit of upper semi-continuous functions

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#real-analysis #limits #uniform-convergence #limsup-and-liminf #semicontinuous-functions
71
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General hints on convergences of series of functions

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#calculus #functions #convergence-divergence #uniform-convergence
81
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Question on polynomial approximation of complex function

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#complex-analysis #uniform-convergence
231
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Prove absolute and uniform convergence on compact subsets of $\mathbb{C}$

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#complex-analysis #complex-numbers #uniform-convergence #absolute-convergence
636
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Holomorphic Functions and their Power Series representations

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#complex-analysis #convergence-divergence #uniform-convergence
99
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Is $1/x^n$ uniformly convergent on $(1,2)$

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#calculus #analysis #uniform-convergence
184
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How to show $\sum (-1)^n \frac{x^2+n}{n^2}$ is not uniformly convergent 0n $\mathbb{R}$

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#sequences-and-series #uniform-convergence
211
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Uniform Convergence of a Function Related to the Characteristic Function of a Random Variable

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#probability-theory #uniform-convergence #weak-convergence #uniform-continuity
2.3k
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Prove that a linear subspace of $C([0,1])$ is closed

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#functional-analysis #vector-spaces #uniform-convergence
75
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Find the range where $f_n = \frac{1}{ 1- x^n}$ is uniformly convergent.

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#real-analysis #uniform-convergence
727
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Show that $(1+\frac{x}{n})^n \rightarrow e^x$ uniformly on any bounded interval of the real line.

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

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