IB skill practice

Estimate errors in Taylor approximations

Use remainder bounds and context to estimate Taylor approximation errors.

Paper 1, Paper 2 5 marks Difficulty 5

Estimate errors in Taylor approximations - visual Taylor error bound item

Case B15. Use \(M=3\), \(|x-a|=0.25\), and degree \(n=2\). Enter the Lagrange remainder bound.

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.