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Applications of Taylor Series

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Presentation on theme: "Applications of Taylor Series"— Presentation transcript:

1 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)

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

3 Applications of Taylor Series
TERM-082

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

5 Applications of Taylor Series
TERM-102

6 Applications of Taylor Series
TERM-111

7 Applications of Taylor Series
TERM-101

8 Applications of Taylor Series
TERM-121


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