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IB AA HL Calculus. Ex 9. The Maclaurin series.

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Assuming the Maclaurin series for cos x and ln(1 + x), show that the Maclaurin series for cos(ln(1 + x)) is...
By differentiating the series in part (a), show that the Maclaurin series for sin(ln(1 + x))
Hence determine the Maclaurin series for tan(ln(1 + x))
By differentiating the series in part (a), show that the Maclaurin series for sin(ln(1 + x))
Hence determine the Maclaurin series for tan(ln(1 + x))