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Unformatted text preview: 1.73193 1.73242 1.73193 1.73218 1.73193 1.73206 Estimate=1 . 73199. 11. The number of iterations required depends only on the starting interval, not the function. We want to ﬁnd the smallest n such that ba 2 n < 103 . This gives n > ln 3 × 10 3 ln 2 ’ 11 . 55, so n = 12. The iterations are: a b 1.00000 4.00000 1.00000 2.50000 Date : September 4, 2009. 1 2 SECTION 2.2 PAGE 38 1.00000 1.75000 1.37500 1.75000 1.37500 1.56250 1.37500 1.46875 1.37500 1.42188 1.37500 1.39844 1.37500 1.38672 1.37500 1.38086 1.37793 1.38086 1.37793 1.37939 and the estimate is 1 . 37866....
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 Spring '10
 CAREY
 Bracket, smaller bracketing interval.

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