Finding Taylor and Maclaurin Series In Exercises 25–32, apply Taylor’s Theorem to find the power series for the function centered at c. Then find the radius of convergence. See Examples 4 and 5.
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- -25 Find a power series representation for g(x) = (Hint: think about how this series (5 + x)2 relates to b(x) in Part 2.)arrow_forwardThe power series representation of the function centered at the origin is shown below. Find c - b - a.arrow_forwardInvestigate Taylor series expansion. Explain how the Taylor series is used in your calculator to compute values of functions such as sin(x) , cos(x) , and ex , where x represent any value. Write a brief report explaining your findings, and give examples.arrow_forward
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage