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Lecture

11.9 Function Representation as Power Series Question #2 (Medium)

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
11.9 Infinite Sequences & Series Function Representation as Power Series Question #2 (Medium): Interval of Convergence for Partial Fraction Function Strategy After the rational function has been converted into partial fractions, treat each of the partial fraction as a separate sum, thus the goal is then same as before, converting into the sum of geometric series form of and determining the values of that makes the “geometric ratio” to be less than . For partial fractions, consider each partial fraction as a separate geometric series, then determine the interval of convergence for each. Then put together as a whole, chose the one that works for all of the partial fractions. Sample Question Express the function as the sum of power series by first using partial fractions. Find the interval of convergence. ( ) Solution Remembering how to do partial fractions, first factor the denomin
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