Question: f(x) = (2 x) 9 a. Find the first 3 terms, in ascending powers of x, of the binomial expansion of f(x), giving each

f(x) = (2 − x)9

a. Find the first 3 terms, in ascending powers of x, of the binomial expansion of f(x), giving each term in its simplest form.

b. If x is small, so that x2 and higher powers can be ignored, show that f'(x) ≈ 9216x − 2304.

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