9709/32/M/J/25q2 – Mark Scheme

(a) Expand in ascending powers of x, up to and including the term in x², simplifying the coefficients. [4 marks]

(b) State the set of values of x for which the expansion is valid. [1 mark]

9709/33/M/J/25q7 – Mark Scheme

Let , where a is a positive constant.

(a) Express f(x) in partial fractions. [3 marks]

(b) Hence obtain the expansion of f(x) in ascending powers of x, up to and including the term in x². [4 marks]

(c) State the set of values of x for which the expansion in part (b) is valid. [1 mark]