9231 P21 - Nov 2023 - Q3 - 6 marks
5969
Find the first three terms in the Maclaurin's series for \(\tanh ^{-1}\left(\frac{1}{2} \mathrm{e}^{x}\right)\) in the form \(\frac{1}{2} \ln a+b x+c x^{2}\), giving the exact values of the constants \(a, b\) and \(c\).
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