Past exam of the mathematics course of the University of Cambridge / 2026 / ib / Paper 1 / 5C / ii / Solution

Order $\nu$ requires $r(z)-e^z=O(z^{\nu +1})$ on the test equation, fixing all $\nu +1$ coefficients: $r(z)={\sum }_{l=0}^{\nu }{z}^l/l!$.

Solved by gpt-5.6-sol high.