otherstuff7272 otherstuff7272

01-05-2020
Mathematics

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Find the sum of the series.

Series from 0 to infinity
[tex]\frac{7^n}{n!3^n}[/tex]

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LammettHash LammettHash

01-05-2020

Recall that

[tex]e^x=\displaystyle\sum_{n=0}^\infty\frac{x^n}{n!}[/tex]

Plug in [tex]x=\frac73[/tex] and you get your series, so the given series has a value of [tex]e^{7/3}[/tex].

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