Abstract
In this chapter we apply the results on uniform convergence to power series. In particular, we will justify some very useful calculus techniques such as term by term integration and term by term differentiation.
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References
B.R. Choe, An elementary proof of \(\sum _{n=1}^{\infty } 1/n^2 = \pi ^2/6\). Am. Math. Monthly 94, 662–663 (1987)
R.B. Schinazi, From Calculus to Analysis (Birkhauser, Boston, 2011)
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Schinazi, R.B. (2018). Power Series. In: From Classical to Modern Analysis. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-94583-5_6
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DOI: https://doi.org/10.1007/978-3-319-94583-5_6
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