It is known that the root of the function $f(x)$ lies between $0$ and $1$. After $10$ iterations of the bisection method, what will be the approximate precision of the root?
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1Please provide more details, for instance, what are your thoughts about the question, what you have tried, where you are stuck. – Sahiba Arora Jul 01 '17 at 12:12
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every iteration of bisection shrinks the interval containing the root by half. So after ten iteration, if you didn't accidentally find the root, the interval contains the root has length $2^{-10}$. – achille hui Jul 01 '17 at 12:14