5. Find the Maclaurin series of f(x)=√ (Hint: use the binomial series). Use this series to show that arcsinx=x+) 1-3-5-(

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5. Find the Maclaurin series of f(x)=√ (Hint: use the binomial series). Use this series to show that arcsinx=x+) 1-3-5-(

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5 Find The Maclaurin Series Of F X Hint Use The Binomial Series Use This Series To Show That Arcsinx X 1 3 5 1
5 Find The Maclaurin Series Of F X Hint Use The Binomial Series Use This Series To Show That Arcsinx X 1 3 5 1 (26.39 KiB) Viewed 35 times
5. Find the Maclaurin series of f(x)=√ (Hint: use the binomial series). Use this series to show that arcsinx=x+) 1-3-5-(2n-1) x²n+1 12.4-6 (2n) 2n+1 Then, use Taylor's Inequality to find the error of the approximation using the first two terms in this series (arcsin x= x+) with x € [-1/2,1/2]. /6
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