Using the standard series, find the Maclaurin series for: (i) f(x) = sin(3r), (ii) f(x)= cos(x) + cosh(x), (iii) f(x) = e2= In(1 – x).

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Q: Example 1 Using the standard series, find the Maclaurin series for: (i) f(x) = sin(3r), (ii) f(x)=…

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A: Using the standard series, find the maclaurin series for: e^ix = cos x + i sin x

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A: f(x) = excos xf(1 ) = e1cos 1 = 1.47f'(x) = ex (-sin x) + cos x ex f'(x) = 2 ex cos (x + π4)f'(1)…

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