The famous binomial theorem can be obtain from this

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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

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## Comments

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

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I mean use the series to get since,cosx?

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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.

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Cool bro

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