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Maclaurin Series (Edexcel A Level Further Maths: Core Pure): Exam Questions

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1a
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y space equals space sin space x space sinh space x

a) Show that fraction numerator straight d to the power of 4 y over denominator straight d x to the power of 4 end fraction equals negative 4 y

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1b
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(b) Hence find the first three non-zero terms of the Maclaurin series for y, giving each coefficient in its simplest form.

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1c
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(c) Find an expression for the nth non-zero term of the Maclaurin series for y.

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