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Calculus II · Calculus

Power Series and Taylor Series

Every smooth function hides an infinite polynomial — its Taylor series. Radius of convergence determines validity; Taylor polynomials give best polynomial approximations.

WHAT STUDENTS WILL LEARN
✓Find radius and interval of convergence
✓Derive Taylor and Maclaurin series
✓Approximate values and estimate errors
✓Manipulate series by differentiation and integration
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