Applications of Taylor Series

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Presentation transcript:

Applications of Taylor Series how to represent certain types of functions as sums of power series You might wonder why we would ever want to express a known function as a sum of infinitely many terms. Integration. (Easy to integrate polynomials) Finding limit Finding a sum of a series (not only geometric, telescoping)

Applications of Taylor Series Maclaurin series ( center is 0 ) Example: Find the sum of the series

Applications of Taylor Series TERM-082

Applications of Taylor Series Example: Find the sum Leibniz’s formula:

Applications of Taylor Series TERM-102

Applications of Taylor Series TERM-111

Applications of Taylor Series TERM-101

Applications of Taylor Series TERM-121