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Home Infinite Series Taylor's Formula Examples Example 3: MacLaurin's Formula for f(x) = sin x | |||||||||||||
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Example 3: MacLaurin's Formula for f(x) = sin x
Find MacLaurin's Formula for f(x) = sin x. The derivatives are
MacLaurin's Formula for 2n terms is For all t, |cos t| ≤ 1, so we have the error estimate
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Home Infinite Series Taylor's Formula Examples Example 3: MacLaurin's Formula for f(x) = sin x |