Unformatted text preview: examples. EXAMPLE 10.53 Find a polynomial approximation for sin x accurate to ± . 005. From Taylor’s theorem: sin x = N X n =0 f ( n ) ( a ) n ! ( xa ) n + f ( N +1) ( z ) ( N + 1)! ( xa ) N +1 . What can we say about the size of the term f ( N +1) ( z ) ( N + 1)! ( xa ) N +1 ?...
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 Spring '07
 JonathanRogawski
 Math, Calculus, Taylor Series, Approximation algorithm, Taylor’s Theorem, n=0, polynomial approximation

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