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Review the concept of power series, focusing on determining the radius and interval of convergence using the ratio test. Explore five detailed examples that demonstrate various applications of this technique, and conclude with an examination of the power series expansion for the tangent function.
Syllabus
Radius and interval of convergence of a power series, using ratio test, ex#1.
Radius and interval of convergence of a power series, using ratio test, ex#2.
Radius and interval of convergence of a power series, using ratio test, ex#3.
Radius and interval of convergence of a power series, using ratio test, ex#4.
Radius and interval of convergence of a power series, using ratio test, ex#5.
Power series expansion of tan(x).
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