Power Series

Prove that \displaystyle \tan{x}-\sin{x}\approx.\frac{x^{3}}{2} if x is small.  Use four-figure tables to assess the approximate error when x\approx. 0.3 radians.

Source: Porter, R.I. (1963). Further Elementary Analysis (2nd ed.). London: G. Bell & Sons. (Examples 3c, Question 7, p. 46)

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.

Leave a Reply