a Find the binomial expansion of 1 3 x in ascending powers of x up...

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a Find the binomial expansion of 1 3 x in ascending powers of x up to and including the x term simplifying each term 4 mark 2 mark 97 97 1000 e Substitute x into the binomial expansion in part a and hence obtain an approximation 3 mar 1 100 to 97 Give your answer to 5 decimal places b Show that when x 1 100 the exact value of 1 3x is

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