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Finding the values of $z$ such that $\sum_{n=0}^{\infty}(1+\sin{n})^nz^n$ converges

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#real-analysis #sequences-and-series #uniform-convergence
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Uniform convergence of supremum

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#convergence-divergence #uniform-convergence
1.9k
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Uniform convergence of $\frac{\cos(nx)}{e^{nx}}$

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#real-analysis #sequences-and-series #uniform-convergence
42
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About the uniform convergence of a series

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#sequences-and-series #uniform-convergence
173
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How do I prove that $f_n(x)=\frac{1-x^n}{1-x}$ converges pointwise and uniformly?

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#uniform-convergence
51
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Check series for uniform convergence on real numbers

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#real-analysis #sequences-and-series #uniform-convergence
290
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Prove or disprove: $\sum_{n=0}^\infty e^{-|x-n|}$ converges uniformly in $(-\infty,\infty)$

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#calculus #sequences-and-series #convergence-divergence #uniform-convergence
29
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What happens when there is uniform convergence on an unspecified set?

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#real-analysis #functional-analysis #uniform-convergence
151
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Integral approximation of functions not defined for x=0

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#taylor-expansion #uniform-convergence #approximate-integration
57
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Test the series for uniform convergence

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#uniform-convergence
181
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Sequence of functions that converges to Gaussian

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#calculus #sequences-and-series #exponential-function #uniform-convergence
225
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Find $\lim_{n \to \infty} \int_0^1 \frac{\cos\left (\frac{x^2}{n}\right)}{1+x^2} dx$

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#integration #definite-integrals #uniform-convergence
392
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Trouble with uniform convergence in Hilbert space.

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#functional-analysis #uniform-convergence
57
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Convergence of product of sequences of functions

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#real-analysis #sequences-and-series #analysis #convergence-divergence #uniform-convergence
101
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Uniform convergence of $\sum (-1)^nf_n(x)$ on $[0,1]$ where $f_n(x)=x^n(1-x)$.

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

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