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Approximating real numbers Use an appropriate
Chapter 8, Problem 44E(choose chapter or problem)
QUESTION:
Approximating real numbers Use an appropriate Taylor series to find the first four nonzero terms of an infinite series that is equal to the following numbers.
\(\tan ^{-1}\left(\frac{1}{2}\right)\)
Questions & Answers
QUESTION:
Approximating real numbers Use an appropriate Taylor series to find the first four nonzero terms of an infinite series that is equal to the following numbers.
\(\tan ^{-1}\left(\frac{1}{2}\right)\)
ANSWER:Solution 44EStep 1: We have to use an appropriate Taylor series to find the first four nonzero terms of an infinite series that is equal to Therefore we can use the taylor series expansion of the function