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Infinite composition of automorphisms.

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#uniform-convergence #function-and-relation-composition
67
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We need to find whether $g_n$ is uniformly convergent or not.

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#real-analysis #sequences-and-series #uniform-convergence
148
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show that $ \sum \frac{1}{n}e^{-n^2 t}\sin{(nx)}$ converges in $L^2([0,\pi])$ to $ \sum \frac{1}{n}\sin{(nx)}$

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#calculus #real-analysis #sequences-and-series #trigonometry #uniform-convergence
1.3k
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Uniform convergence of $\sin x$ - what to choose for $N$?

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#real-analysis #sequences-and-series #analysis #convergence-divergence #uniform-convergence
681
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Find the interval where $f_k(x)$ is uniformly convergent

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#real-analysis #sequences-and-series #uniform-convergence
806
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Justification of termwise integration

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#real-analysis #sequences-and-series #analysis #power-series #uniform-convergence
675
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Question on a corollary of the Arzela-Ascoli theorem

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#real-analysis #analysis #convergence-divergence #metric-spaces #uniform-convergence
85
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Uniform convergence - Is this statement true? Why?

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#sequences-and-series #uniform-convergence
144
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Uniform convergence problem involving arctangent

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#real-analysis #sequences-and-series #uniform-convergence
109
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Did I use the Weierstrass M-Test Correctly on $\frac{x}{1+nx^2}$?

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#calculus #real-analysis #uniform-convergence
2.2k
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The Fourier series converges absolutely $\implies$ it converges uniformly.

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#sequences-and-series #functional-analysis #fourier-series #uniform-convergence
554
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If $f_n \rightarrow f$ and $f$ is uniformly continuous, then does $f_n \rightarrow f$ uniformly?

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#sequences-and-series #fourier-series #uniform-convergence
1.5k
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Show uniform convergence (Gamma function)

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#real-analysis #limits #gamma-function #uniform-convergence
6.6k
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is uniform convergent sequence leads to bounded function?

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#uniform-convergence #bounded-variation
62
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$g_n(z)=z^n$ uniformly on $D={z: |z|<1}$?

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#complex-analysis #convergence-divergence #uniform-convergence

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