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15
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Using definition of limit of Sequence show that, If x>0 then limit of Sequence (Arctan nx) is π/2

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#real-analysis #sequences-and-series #sequence-of-function
674
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Continuity, differentiability and double-differentiability of $\sum_{k=1}^{\infty} \frac{\sin(x/k)}{k}$ and $\sum_{k=1}^{\infty}\frac{\sin(kx)}{k^3}$

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#real-analysis #derivatives #solution-verification #uniform-convergence #sequence-of-function
53
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Proof of "a sequence of uniformly convergent bounded functions converges to a bounded function"

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#analysis #solution-verification #sequence-of-function
365
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Show that $f_n$ converges uniformly to $f=0$

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#real-analysis #uniform-convergence #alternative-proof #sequence-of-function
179
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$C^\infty$ $f_n$ converge pointwise $\implies$ f is $C^\infty$

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#real-analysis #derivatives #uniform-convergence #sequence-of-function #pointwise-convergence
45
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Question on pointwise convergence of Sequence of functions

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#real-analysis #continuity #uniform-convergence #sequence-of-function #pointwise-convergence
50
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Uniform convergence sequence of positive reals

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#real-analysis #uniform-convergence #sequence-of-function
405
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$f_n(x) = \log(1 + n^3 x^2)/n^2$ (uniform converge)

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#real-analysis #uniform-convergence #sequence-of-function
469
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Iterated and Double limits exisitence

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#real-analysis #limits #multivariable-calculus #limits-without-lhopital #sequence-of-function
91
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An intuitive doubt on limits

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#real-analysis #limits #multivariable-calculus #limits-without-lhopital #sequence-of-function
503
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Proving a sequence of functions is not equicontinuous

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#real-analysis #proof-writing #solution-verification #sequence-of-function #equicontinuity
56
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Is sequential criterion of continuity holds for Sequence of continuous functions?

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#real-analysis #convergence-divergence #uniform-convergence #sequence-of-function
51
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determining the formula of equations similar to ${2}^{x-1}$

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#sequences-and-series #recreational-mathematics #sequence-of-function
116
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Showing that a sequence weakly converges but no subsequence converges strongly

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#functional-analysis #weak-convergence #sequence-of-function
84
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Sequence of non-constant integer polynomials whose limit is constant

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#real-analysis #limits #analysis #polynomials #sequence-of-function

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