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Suppose you would like to use Newton's method to find a root of a function f (@). Suppose that you are lucky enough to choose
Suppose you would like to use Newton's method to find a root of a function f (@). Suppose that you are lucky enough to choose co to be the exact value of the root. Suppose f' (x0 ) * 0. What would happen next? What is x1? Note: Consider the formula for Newton's method (equation 4.8 in the textbook) and think about what would happen if co was a root. Own becomes undefined, and therefore all On (n > 1) are undefined. O *1 = 20 and En = 20 for all n O 1 and all other @n are very close to To, but not equal to 20
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