Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2005-10-25 15:55:26

God
Member
Registered: 2005-08-25
Posts: 59

Taylor Series Expansion

Does anyone know how to prove the taylor series expansion for ƒ(x)=sin x ?

thx

Offline

#2 2005-10-25 16:09:33

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 45,966

Re: Taylor Series Expansion

sin(x)  = sin(0) + xcos(0) −x²sin(0)/2! − x³ cos(0)/3!
+ x^4 sin(0)/4! - x^5 cos(0)/5! + ...............
= x - x³/3! + x^5/5! - x^7/7!................


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

Board footer

Powered by FluxBB