What is the first three non-zero terms of the Taylor series for the function f(x)=cos(x) about x=0?
1
Expert's answer
2010-12-11T20:13:42-0500
The first terms of Taylor series for the function f(a) are f(a) + f'(a) (x-a)/1! + f''(a)(x-a)2 / 2! + ... Let's find it for f(x) = cos(x) and a = 0: cos(0) + (-sin(0))(x-0)/1! + (-cos(0))x2 / 2! + sin(0) x3/3! + cos(0) x4 / 4! = 1 + 0 - x2/2 + 0 + x4/24 = 1 - x2/2 +x4/24
Numbers and figures are an essential part of our world, necessary for almost everything we do every day. As important…
APPROVED BY CLIENTS
Finding a professional expert in "partial differential equations" in the advanced level is difficult.
You can find this expert in "Assignmentexpert.com" with confidence.
Exceptional experts! I appreciate your help. God bless you!
Comments
You & are welcome.
Leave a comment