Name the series: a) sum_(n = 0)^oo (f^n xx a)/(n!) xx (x – a)^n

Armorikam 2021-08-18 Answered
Name the series:
a) \(\displaystyle{\sum_{{{n}={0}}}^{\infty}}\frac{{{f}^{{n}}\times{a}}}{{{n}!}}\times{\left({x}–{a}\right)}^{{n}}\)
b) \(\displaystyle{\sum_{{{n}={0}}}^{\infty}}\frac{{{f}^{{n}}\times{0}}}{{{n}!}}\times{x}^{{n}}\)

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Expert Answer

rogreenhoxa8
Answered 2021-08-19 Author has 16313 answers
a) \(\displaystyle{\sum_{{{n}={0}}}^{\infty}}\frac{{{f}^{{n}}\times{a}}}{{{n}!}}\times{\left({x}–{a}\right)}^{{n}}\) is a Taylor series.
b) \(\displaystyle{\sum_{{{n}={0}}}^{\infty}}\frac{{{f}^{{n}}\times{0}}}{{{n}!}}\times{x}^{{n}}\) is a Maclaurin series.
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