2. (a) Using the proof of Theorem 7.60, prove that (20) holds if r/2 replaces r. (b)...

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2.

(a) Using the proof of Theorem 7.60, prove that (20) holds if r/2 replaces r.

(b) Use part

(a) to estimate the difference IX4 - nl, where Xo = 3, f(x) = sinx, and Xn is defined by (19). Evaluate X4 directly; and verify that X4 is actually closer than our theory predicts.

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