A zero of a continuous function is known to lie in
MATHEMATICS · Single correct · A Level · Mathematics · Numerical methods · Numerical methods
Problem
A zero of a continuous function h is known to lie in [0,4]. A student repeatedly halves the bracketing interval and uses the midpoint as the approximation.
After three complete iterations, what is the largest possible distance between the student's approximation and the actual zero?
(a) 0.5
(b) 0.25
(c) 0.75
(d) 0.125