Question: By replacing s by StartFraction 1 Over s EndFraction in the Maclaurin series expansion for arctangent s, show that arctangent StartFraction 1 Over s EndFraction

By replacing s by StartFraction 1 Over s EndFraction in the Maclaurin series expansion for arctangent s, show that arctangent StartFraction 1 Over s EndFraction equalsStartFraction 1 Over s EndFraction minus StartFraction 1 Over 3 s cubed EndFraction plus StartFraction 1 Over 5 s Superscript 5 EndFraction minus StartFraction 1 Over 7 s Superscript 7 EndFraction plus midline ellipsis . Question content area bottom Part 1 The Maclaurin series expansion of a function f(x) is calculated using the formula Summation from n equals 0 to infinity StartFraction f Superscript left parenthesis n right parenthesis Baseline left parenthesis 0 right parenthesis Over n exclamation mark EndFraction x Superscript n Baseline . Part 2 Use this formula to find the sum of the first four nonzero terms of the Maclaurin series expansion of arctangent s. enter your response here

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