Bekki George Lecture notes 13

example7assume

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Unformatted text preview: nd! π /4! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! ! Example!7:!Assume that f is a function such that | f (n)(x) | < 1 for all n and x (the sine and cosine functions have this property.) Estimate the error if P6(1/2) is used to approximate f (1/2).! LecPop13_2 2. Use the values in the table below and the formula for Taylor polynomials to give the 4th degree Taylor polynomial for f centered at x = 0. f(0) f '(0) f ''(0) f '''(0) f (4) (0) -2 a) b) c) d) e) -1 4 2 3 11.6$$More$Taylor$Polynomials$5$Taylor$Polynomial$at$a! !! The!nth!degree!Taylor!polyno...
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