Question 1 - A-Level Maths

Exam Board	OCR
Module	FP2 (Further Pure Mathematics 2)
Topic	Taylor series
Type	Direct multiplication of series

Write down and simplify the first three non-zero terms of the Maclaurin series for $\ln ( 1 + 3 x )$.
Hence find the first three non-zero terms of the Maclaurin series for $$\mathrm { e } ^ { x } \ln ( 1 + 3 x )$$ simplifying the coefficients.