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sequence of solutions of a de

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#analysis #uniform-convergence
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Function sequence converging almost everywhere to smooth function implies convergence everywhere?

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#sequences-and-series #convergence-divergence #continuity #uniform-convergence #smooth-functions
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How do I check whether the sequence converges uniformly?

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#calculus #sequences-and-series #uniform-convergence #divergent-series
214
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If a sequence of functions converges uniformly to $f$ with only jump discontinuities, then $f$ has only jump discontinuities.

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#real-analysis #uniform-convergence
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Disprove: If $ f_n , f $ are differentiable and $ f_n \to f $ uniformly, then $ f_n' \to f' $ ( pointwise )

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#uniform-convergence
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Uniform convergence: how to write it correctly

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#calculus #analysis #uniform-convergence
108
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Uniform convergence of a n-th root on $\mathbb{R}^+$

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#real-analysis #analysis #functions #uniform-convergence #special-functions
89
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why is $\sum_{n=1}^{\infty} \frac{1}{n} \sin\left( \frac{x^n}{\sqrt n} \right)$ uniformly convergent?

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#sequences-and-series #uniform-convergence
66
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Is this sequence Cauchy?

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#real-analysis #uniform-convergence #cauchy-sequences
113
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Series of derivatives not converging to the derivative of the series

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#real-analysis #sequences-and-series #derivatives #examples-counterexamples #uniform-convergence
71
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Do the elements of this series converge to zero?

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#sequences-and-series #functional-analysis #uniform-convergence #divergent-series
54
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Shortcut to recognize a cauchy sequence?

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#functions #uniform-convergence #cauchy-sequences #uniform-continuity
61
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Uniform convergence when $a \lt b$ but not if $a \geq b$

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#real-analysis #convergence-divergence #uniform-convergence #supremum-and-infimum #pointwise-convergence
49
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Is this sequence of functions uniformly convergent on $[0,1]$?

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#limits #uniform-convergence
120
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Does Weierstrass M-test work for unbounded intervals?

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#real-analysis #uniform-convergence

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