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$g_n = \max \{\min (f_n, g), -g\} \to f$

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#convergence-divergence #lebesgue-integral #sequence-of-function
40
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Uniform convergence of $\frac{y/(2N)}{\sin(y/(2N))}$ towards 1

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#real-analysis #uniform-convergence #sequence-of-function
923
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Uniformly convergent on each compact set of $\mathbb R$ but not on $\mathbb R$

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#real-analysis #limits #convergence-divergence #uniform-convergence #sequence-of-function
344
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Bounded sequence of functions implies convergent subsequence

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#real-analysis #sequences-and-series #convergence-divergence #pointwise-convergence #sequence-of-function
65
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$ \lim_{n\to \infty}\int_{0}^{1}\frac{2nx^{n-1}}{1+x}dx=?$

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#limits #sequence-of-function
59
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Under given conditions whether $\lim\limits_{n\to \infty} \int_{-\infty}^{\infty}f_n(t)dt=\int_{-\infty}^{\infty}f(t)dt$ or not?

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#integration #sequence-of-function
141
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Uniform convergence as $\epsilon\to 0^+$

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#real-analysis #uniform-convergence #sequence-of-function
116
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Uniform and pointwise convergence of sequence of function of $f_n(x) = [\log(1+x)]^n$

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#real-analysis #sequence-of-function
243
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Uniform convergence of $f_n(x) = n(x-1)e^{-nx}$

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#real-analysis #limits #sequence-of-function
98
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Uniform convergence of $f_n(x) = \frac{nx}{(2+nx)(4+x^2)}$

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#real-analysis #limits #uniform-convergence #sequence-of-function
1.2k
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Uniform convergence and the supremum theorem

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#real-analysis #sequence-of-function
2.7k
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Show that the class $C_c(\mathbb{R^n})$ of continuous functions with compact support is not a complete metric space

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#real-analysis #sequences-and-series #metric-spaces #complete-spaces #sequence-of-function
117
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Combining little-o notation

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#real-analysis #sequences-and-series #asymptotics #sequence-of-function
27
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Iterating a sequence and verifying its convergence

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#real-analysis #convergence-divergence #cauchy-sequences #sequence-of-function
48
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Proof Verification for Uniform Convergence on Sequence of Functions

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#real-analysis #convergence-divergence #uniform-convergence #pointwise-convergence #sequence-of-function

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