An iterative procedure halves the length of the interval known to contain a root of a…

MATHEMATICS · Subjective · GCSE · Mathematics · Algebra · Algebra

Problem

An iterative procedure halves the length of the interval known to contain a root of a continuous function at each step. If the initial interval is

[0,1]

, determine the least integer

n

such that, after

n

steps, the interval length is less than

0.001