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Find the Maclaurin series of the function. f(x) = ln(1 – 7x) Choose the Maclaurin series. 1n (1 – 7x) = - _ 7"x" Σ 7n n=1 7"x" In (1 – 7x) = = == -Σ" n n=1 Ο 1n (1 – 7x) = Σ n=1 Ο in (1 – 7x) = Σ -ΣΕ h=1 (−1)n-¹x7n 7n (−1)"-17"x" n

In (1-7x) = (-1)-17"x" 71 Identify the interval on which the series is valid. (Give your answer as an interval in the form (,). Use the symbol co for infinity, U for combining intervals, and an appropriate type of parenthesis "(".")". "T"."]" depending on whether the interval is open or closed. Enter Ø if the interval is empty. Express numbers in exact form. Use symbolic notation and fractions where needed.) The expansion is valid for: IMB