1.7-4 Use Taylor's formula (1.32) to find a power series expansion about c = 0 for sin(#x/2). Find an expression for the remainder, and from this estimate the number of terms that would be needed to guarantee six-significant-digit accuracy forsin(x/2) for all x on the interval [-1,1].

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1.7-4 Use Taylor's formula (1.32) to find a power series expansion about c = 0 for sin(7x/2).
Find an expression for the remainder, and from this estimate the number of tems that would
be needed to guarantee six-significant-digit accuracy forsin(7x/2) for all x on the interval
[-1,1].
Transcribed Image Text:1.7-4 Use Taylor's formula (1.32) to find a power series expansion about c = 0 for sin(7x/2). Find an expression for the remainder, and from this estimate the number of tems that would be needed to guarantee six-significant-digit accuracy forsin(7x/2) for all x on the interval [-1,1].
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