Approximation of partial fractions
Approximation of partial fractions
IB Year 6 | Grade 12
Find the Maclaurin series of \(\frac{x-7}{x^2-x-2}\), up to and including the term in \(x^2\).
Solution:
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Answer:\(\dfrac{x-7}{x^2-x-2}=\dfrac72-\dfrac94x+\dfrac{23}{8}x^2+\cdots,\quad |x|<1\).
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