Find the taylor series for xex about x = 0. then integrate term-by-term and substitute to show that the series

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20-11-2017
Mathematics

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Find the taylor series for xex about x = 0. then integrate term-by-term and substitute to show that the series

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Аноним Аноним · Answer 1 · 2017-11-20T13:45:53+01:00

Аноним Аноним

20-11-2017

The Taylor series for e^x about x = 0 is

1 + x + x^2/2! + x^3/3! + x^4 /4!+...

xe^x = x + x^2 + x^3/2! + x^4/3! + x^5/4!+....

Integrating term by term gives:-

x^2/ 2 + x^3/3 + x^4 / 3.2! + x^5 / 4.3! + x^6 / 5.4!+....

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