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Physics & Maths TutorTypewritten TextEdexcel Maths C4
Physics & Maths TutorTypewritten TextTopic Questions from Papers
Physics & Maths TutorTypewritten TextBinomial Expansion
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2
1. Use the binomial theorem to expand
in ascending powers of x, up to and including the term in x3, simplifying each term.
(5)
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4(4 9 ), | | ,
9x x
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5.
(a) Find the values of A and C and show that B = 0. (4)
(b) Hence, or otherwise, find the series expansion of f(x), in ascending powers of x, upto and including the term in x3. Simplify each term.
(7)
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2132 2
3 16f ( ) , | | .(1 3 )(2 ) (1 3 ) (2 ) (2 )
x A B Cx xx x x x x
*N23553A01020*
physicsandmathstutor.com January 2006
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2.
Given that, for where A and B are constants,
(a) find the values of A and B.(3)
(b) Hence, or otherwise, find the series expansion of f(x), in ascending powers of x, upto and including the term in x3, simplifying each term.
(6)
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2 2
3 1 ,(1 2 ) (1 2 ) (1 2 )
x A Bx x x
= +
12,x
122
3 1f ( ) , | | .(1 2 )
xx xx
=
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