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Uniform convergence: If not Weierstrass M-test, then how?

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#calculus #sequences-and-series #taylor-expansion #uniform-convergence
76
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Prove $ \sin ^{2} \frac{\pi}{x} $not uniform convergence

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#real-analysis #convergence-divergence #uniform-convergence
46
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Prove that $h_n(x) = n^2 (e^{x/n} -1 - x/n)$ does not converge uniformly on $\mathbb{R}$

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#real-analysis #solution-verification #uniform-convergence
41
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Testing uniform convergence over $\mathbb{R}$

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#real-analysis #uniform-convergence
91
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Looking for an example of sequence of analytic functions with weird behaviour

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#complex-analysis #uniform-convergence #analytic-functions
246
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Uniform convergence of $f_{n}=\frac{e^{n^2 x^2}}{n}$ in $\mathbb{R}$

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#real-analysis #analysis #uniform-convergence
52
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Uniform convergence to show an integral

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#real-analysis #calculus #integration #uniform-convergence
290
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Show that This infinite product is entire

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#complex-analysis #uniform-convergence #infinite-product #entire-functions
70
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What actually is uniform convergence?

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#sequences-and-series #fourier-series #uniform-convergence #even-and-odd-functions
587
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Uniform convergence of $\sum \frac{nx}{1+n^2x^2}$

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#real-analysis #sequences-and-series #uniform-convergence
54
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Consequence of a Power Series Convergence at a Point

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#sequences-and-series #convergence-divergence #power-series #uniform-convergence #divergent-series
48
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Rate of convergence from asymptotic limit

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#analysis #asymptotics #uniform-convergence
899
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Difference between normal convergence, pointwise convergence and uniform convergence

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#real-analysis #limits #solution-verification #uniform-convergence #supremum-and-infimum
99
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Checking exercise on uniform convergence

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#real-analysis #solution-verification #uniform-convergence #sequence-of-function
65
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Showing there isn't uniform convergence (a useful lemma)

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#real-analysis #solution-verification #uniform-convergence

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