9709/Oct Nov/2002/3/Q6

Let f(x) = (6+7x) / [(2-x)(1+x^2)]
(i) Express f(x) in partial fractions.
(ii) Show that, when x is sufficiently small for x^4 and higher powers to be neglected, f(x) = 3 + 5x - 1/2 x^2 - 15/4x^3

Solution:
i)

ii)

Reference: PYQ - Oct/Nov 2002 Paper 3 Q6