Quick questions on Taylor series: Maclaurin and Taylor expansions - Edexcel A-Level Further Maths

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is wrong expansion point?

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A Taylor series about

a

uses powers of

(x - a)

, not powers of

x

; only the Maclaurin case (

a = 0

) uses powers of

x

What is q1?

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Write down the first three terms of the Maclaurin series for

\cos x

. [2 marks]

What is q2?

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Use the series for

e^x

to estimate

e^{0.1}

to three terms. [2 marks]

What is q3?

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Find the Maclaurin series for

\ln(1 + x)

up to the term in

x^3

. [3 marks]

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