A student begins isolating a zero of a continuous function on the interval by…
MATHEMATICS · Single correct · A Level · Mathematics · Numerical methods · Numerical methods
Problem
A student begins isolating a zero of a continuous function s on the interval [2,6] by repeatedly halving the interval that contains the zero. After five iterations, the current interval length is 0.125.
How many additional complete iterations are required so that the midpoint approximation is guaranteed to be within 0.01 of the actual zero?
(a) 4
(b) 2
(c) 3
(d) 5