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

#Calculus

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Comments

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

oluwadamilare prosper Adebola - 11 months ago

I mean use the series to get since,cosx?

oluwadamilare prosper Adebola - 11 months ago

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.

Aruna Yumlembam - 11 months ago

Cool bro

oluwadamilare prosper Adebola - 11 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$