The LinearApproximation to f (x) = tan x at x = 4 yields the estimate tan 4 + h 1 2h

Chapter 4, Problem 70

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The LinearApproximation to f (x) = tan x at x = 4 yields the estimate tan 4 + h 1 2h. SetK = 6.2 and show, using a plot, that |f (x)| K for x [ 4 , 4 + 0.1]. Then verify numerically that the error E satisfies Eq. (6) for h = 10n, for 1 n 4. F

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