Calculus- Maclaurin series of integral sin(x)/x

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A Maclaurin series is a Taylor series expansion of a function about 0.
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There is a change in the order of limits with the series and integral. Does uniform convergence not have to be demonstrated to show equality there?

tbdmatrix
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At 06:53 After taking the sum of all terms, is there a way to get the answer as pi/2 ?

pratushmallik
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Bro which software are you using for your note-taking?

qsfrankfurt
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If you try integration by parts you can yield an infinite sum

compositeur
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What’s the importance of computing the derivatives when we have the formula in which we can just plug in

claudenzabandora
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