Suppose we have a computer program that estimates the root of an equation $f(x) = 0 $ by bisection.
Given that its truncation error $\leq$ a & rounding error for evaluating $f(x)$ is $\leq$ b (for a given range of x), what is the estimated accuracy of the root?
I am told that the Taylor expansion of $f(x)$ would be useful but I don't know how to proceed.
Thanks for any help!