A single-step numerical approximation with step size gives an absolute error of at…

MATHEMATICS · Single correct · GCSE · Mathematics · Algebra · Algebra

Problem

A single-step numerical approximation with step size h=0.4h=0.4 gives an absolute error of 0.0480.048 at the target point. Assuming the global error is approximately proportional to hh, which of the following is the smallest integer denominator nn such that using a step size h=0.4nh=\dfrac{0.4}{n} is predicted to reduce the error below 0.010.01? (a) n=4n=4 (b) n=5n=5 (c) n=2n=2 (d) n=3n=3

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