# Proving Maclaurin Series

Maclaurin series is very efficient and used to obtain and series even
The famous binomial theorem can be obtain from this
So let's get started PRÓOVE
IF, F(X)=A+BX+CX²+DX³+ EX⁴+…
F(0)=A
F'(0)=B
F''(0)=2C
HENCE,C=F''(0)/2!
F'''(0)=6D
SO,D=F'''(0)/3!
F''''(0)=24E
SO,E=F''''(0)/4!
Therefore,F(X)=F(0)+F'(0).X+F''(0)/2!.X²+F'''(0)/3!.X³+F''''(0)/4!.X⁴+... F^n(0)/n!.X^n
Hence the above is Maclaurin series

Note by Oluwadamilare Prosper Adebola
4 months, 2 weeks ago

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## Comments

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That is hundred percent true I too have observed it and the funny thing about it is that it is what Srinivasa Ramanujan used it to prove his Master Theorem.

- 4 months, 2 weeks ago

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Cool bro

- 4 months, 2 weeks ago

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I mean use the series to get since,cosx?

- 4 months, 2 weeks ago

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So I will some body to prove since using the series above

- 4 months, 2 weeks ago

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