talyor series

mark

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Joined
Feb 28, 2006
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43
Im a little confused as how to do this problem

find R(x) for f(x) = sinx, a = 0, n=4

f(x) = sinx f(0) = 0
f '(x) = cosx f(0) = 1
f ''(x) = -sinx f(0) = 0
f '''(x) = -cosx f(0) = -1
f ''''(x) = sinx f(0) = 0
f '''''(x) = cosx f(0) = 1



R(x) =( f^n+1 (c) (x- a)^n+1)/(n+1)!


= f^5 (c)(x - 0)^5/(5!)

= cos(c)x^5/5!

a<c<x
0<c<x
 
And what is it you are to do with all of that?
 
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