a. Expand (1 + 2x) 12 in ascending powers of x up to and including the term
Question:
a. Expand (1 + 2x)12 in ascending powers of x up to and including the term in x3, simplifying each coefficient.
b. By substituting a suitable value for x, which must be stated, into your answer to part a, calculate an approximate value of 1.0212.
c. Use your calculator, writing down all the digits in your display, to find a more exact value of 1.0212.
d. Calculate, to 3 significant figures, the percentage error of the approximation found in part b.
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Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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