Use the result of Example 4 to write a series representation for
Example 4 Differentiating and Integrating Power Series
Consider the geometric series
- a. Differentiate this series term by term to find the power series for f′ and identify the function it represents.
- b. Integrate this series term by term and identify the function it represents.
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Calculus, Single Variable: Early Transcendentals (3rd Edition)
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage