a Find the values of A and B b Hence, or otherwise, find the series expansion of f(x), in ascending powers of x, up to and including the term x 2 , simplifying each term f(x) 12x 5 (1 4x) For x x 1 1 1 1 12x 5 4' (1 4x) 11 A 1 4x B (1 4x) where A and B are constants ...

For this problem we are going to apply the partial fraction decomposition to write out the series ex ...

a. Find the values of A and B. b. Hence, or otherwise, find the series expansion of

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a. Find the values of A and B.

b. Hence, or otherwise, find the series expansion of f(x), in ascending powers of x, up to and including the term x², simplifying each term.

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

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Question Posted: Aug 10, 2023 08:01 AM

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a. Find the values of A and B. b. Hence, or otherwise, find the series expansion of

Question:

f(x) = - 12x + 5 (1 +4x)²³ For x- • √x | < 1/1/1 1 12x + 5 4' (1 +4x)² 11 = A + 1 + 4x B (1 + 4x)²¹ where A and B are constants.

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

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