To find: The binomial series to expand the function as the power series and state the radius of the convergence.
Answer to Problem 24E
The required binomial series is
Explanation of Solution
Given:
The given expression is
Calculation:
Consider the given expression is,
Consider the formula for the binomial expansion is,
Then, the binomial coefficient is,
Consider
Then,
The above equation is of the interval,
Thus,
Thus, the required binomial series is
Chapter 8 Solutions
Single Variable Calculus: Concepts and Contexts, Enhanced Edition
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning