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

Exam code: 9FM0

10 mins1 question

4 marks

$y = \sin x \sinh x$

Show that $\frac{d^{4} y}{d x^{4}} = - 4 y$

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4 marks

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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2 marks

Find an expression for the $n$ th non-zero term of the Maclaurin series for $y$ .

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