Question: The function tan1(x) has one root (at x= 0). We are going to use the bisection method to find this root. We will use an
The function tan1(x) has one root (at x= 0). We are going to use the bisection method to find this root. We will use an initial interval of [60,20]. Find an upper bound on the number of bisections required to ensure we are within 107 of the root? This is a pencil and paper problem! We want to figure this out mathematically(and not by doing bisections by hand). Show your work.Hint: what is the length of our initial interval? What is the length after one bisection? Two bisections?
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