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The 5th-degree Taylor polynomial expansion of f(x) = cos(a) about a = 0 gives an approximation for f (ac ) : 2 2 f (

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The 5th-degree Taylor polynomial expansion of f(x) = cos(a) about a = 0 gives an approximation for f (ac ) : 2 2 f ( ac ) ~ 24 2 + 1. Use Taylor's formula for the remainder R5,0 (x) to find the best upper bound for the absolute value of the error in this approximation for a in the interval [- 1, 7]. Suppose we are only able to tolerate absolute errors

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