MAT136H1 Lecture Notes - Antiderivative
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11.9 Infinite Sequences & Series
Function Representation as Power Series
Question #4 (Medium): Radius of Convergence for Power Series From Indefinite Integral
When the function
has radius of R, then either
Also have the radius of convergence of .
Evaluate the indefinite integral as a power series. Then also determine the radius of convergence.
First taking the function inside the indefinite integral,
Since converges for which means the radius of convergence is , also
converges for which also means the radius of convergence is .
also converges for and has the radius of
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