Uniform Convergence on the middle 1/3 of an interval.
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I came across this problem when studying up on uniform convergence and for the life of me I haven't been able to work it out. Especially with the odd requirement for the interval of uniform convergence.
Prove that the series $sum_{n=1}^inftyfrac{1}{n^2-x^2}$ converges uniformly on $[m+1/3,m+2/3]$ for any positive integer $m$.
real-analysis sequences-and-series uniform-convergence
asked Dec 9 '18 at 4:37
WaltWalt
370114
$endgroup$
add a comment |
$begingroup$
I came across this problem when studying up on uniform convergence and for the life of me I haven't been able to work it out. Especially with the odd requirement for the interval of uniform convergence.
Prove that the series $sum_{n=1}^inftyfrac{1}{n^2-x^2}$ converges uniformly on $[m+1/3,m+2/3]$ for any positive integer $m$.
real-analysis sequences-and-series uniform-convergence
asked Dec 9 '18 at 4:37
WaltWalt
370114
$endgroup$
add a comment |
$begingroup$
I came across this problem when studying up on uniform convergence and for the life of me I haven't been able to work it out. Especially with the odd requirement for the interval of uniform convergence.
Prove that the series $sum_{n=1}^inftyfrac{1}{n^2-x^2}$ converges uniformly on $[m+1/3,m+2/3]$ for any positive integer $m$.
real-analysis sequences-and-series uniform-convergence
asked Dec 9 '18 at 4:37
WaltWalt
370114
$endgroup$
I came across this problem when studying up on uniform convergence and for the life of me I haven't been able to work it out. Especially with the odd requirement for the interval of uniform convergence.
Prove that the series $sum_{n=1}^inftyfrac{1}{n^2-x^2}$ converges uniformly on $[m+1/3,m+2/3]$ for any positive integer $m$.
real-analysis sequences-and-series uniform-convergence
real-analysis sequences-and-series uniform-convergence
asked Dec 9 '18 at 4:37
WaltWalt
370114
asked Dec 9 '18 at 4:37
WaltWalt
370114
asked Dec 9 '18 at 4:37
WaltWalt
370114
asked Dec 9 '18 at 4:37
WaltWalt
370114
asked Dec 9 '18 at 4:37
WaltWalt
370114
370114
add a comment |
add a comment |
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