Power Series

By putting \displaystyle \frac{1}{5} in the expansion of \ln{\left(\displaystyle \frac{1+x}{1-x}\right)}, find the value of \ln{3}-\ln{2}, correct to 4 decimal places.

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Examples 3b, Question 2, p. 43)

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

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