Solution

We construct the Taylor series as

[s1]

We have

f(x) = log(1 + x)	[s2]

	[s3]

	[s4]
	[s5]

More generally

[s6]

Valuing [s2] through [s6] at = 0 and substituting the results into [s1], we obtain the Taylor series

[s7]

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