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Let pn = an+bn 2 , p = limn→∞pn, and en = p−pn. Here [an,bn], with...

Let pn = an+bn 2 , p = limn→∞pn, and en = p−pn. Here [an,bn], with n ≥ 1, denotes the successive intervals that arise in the Bisection method when it is applied to a continuous function f.


Show that |pn −pn+1| = 2−n−1(b1 −a1).

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