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Let be a zero of a polynomial of degree n > 10, and suppose we have an initial approximation such that both Newton's method and the secant method both converge, and an interval of length about containing and for which bisection will converge to. For this specialized case, list from fastest to slowest, the three methods.

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Let<br><img src='https://www.fatskills.com/images2/GradExams/867FB3BB-8FC4-45AF-8583-929EC3CF5EDC.png' height='16' width='15'/> be a zero of a polynomial<br><img src='https://www.fatskills.com/images2/GradExams/8101AFD9-78EF-4CB9-BB42-C2F11AF71AA5.png' height='13' width='11'/> of degree n > 10, and suppose we have an initial approximation<br><img src='https://www.fatskills.com/images2/GradExams/12B8FAC7-9AAD-40F0-9D72-8F01845C2108.png' height='13' width='15'/> such that both Newton's method and the secant method both converge, and an interval<br><img src='https://www.fatskills.com/images2/GradExams/A3D97BFE-7EB8-4084-B91A-421A7802D4E5.png' height='20' width='34'/> of length about<br><img src='https://www.fatskills.com/images2/GradExams/8666F4DD-4F3B-4820-8830-A90A9E664124.png' height='20' width='67'/> containing<br><img src='https://www.fatskills.com/images2/GradExams/867FB3BB-8FC4-45AF-8583-929EC3CF5EDC.png' height='16' width='15'/> and for which bisection will converge to<br><img src='https://www.fatskills.com/images2/GradExams/867FB3BB-8FC4-45AF-8583-929EC3CF5EDC.png' height='16' width='15'/>. For this specialized case, list from fastest to slowest, the three methods.





 
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