f(x) = (1 3x) 5 a. Expand f(x), in ascending powers of x, up to the

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f(x) = (1 − 3x)5

a. Expand f(x), in ascending powers of x, up to the term in x2. Give each term in its simplest form.

b. Hence find an approximate value for 0.975.

c. State, with a reason, whether your approximation is greater or smaller than the true value.

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