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Suppose it is known that the continuous function has exactly 1 root strictly between 0 and 1, and it is not a double root. Which method can guarantee an approximate root with error less than 0.0001 in fewer than 14 function evaluations?

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Suppose it is known that the continuous function<br><img src='https://www.fatskills.com/images2/GradExams/EEED0CD3-0C3D-4307-8897-9C4210978E54.png' height='18' width='10'/> has exactly 1 root strictly between 0 and 1, and it is not a double root. Which method can guarantee an approximate root with error less than 0.0001 in fewer than 14 function evaluations?<br/>





 
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