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MACLAURIN SERIES

MACLAURIN 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

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MACLAURIN SERIES

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  1. MACLAURIN 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. MACLAURIN SERIES Example: Maclaurin series ( center is 0 ) Example: Find Maclaurin series

  3. MACLAURIN SERIES Example: Find Maclaurin series Example: Find Maclaurin series Example: Find Maclaurin series Example: Find Maclaurin series Example: Find Maclaurin series

  4. MACLAURIN SERIES Important Maclaurin Series and Their Radii of Convergence MEMORIZE: ** Students are required to know the series listed in Table 10.1, P. 620 How to memorize them

  5. MACLAURIN SERIES Important Maclaurin Series and Their Radii of Convergence MEMORIZE: ** Students are required to know the series listed in Table 10.1, P. 620 Denominator is n! even, odd Denominator is n odd

  6. MACLAURIN SERIES Maclaurin series ( center is 0 ) How to find a Maclaurin Series of a function Use the formula Use the known functions 1) Replace each x 2) Diff 3) integrate 3) Find a product between two

  7. MACLAURIN SERIES TERM-081

  8. MACLAURIN SERIES TERM-091

  9. MACLAURIN SERIES TERM-101

  10. MACLAURIN SERIES TERM-082

  11. MACLAURIN SERIES TERM-102

  12. MACLAURIN SERIES TERM-091

  13. TAYLOR AND MACLAURIN Example: Find the sum of the series

  14. MACLAURIN SERIES TERM-102

  15. MACLAURIN SERIES TERM-082

  16. MACLAURIN SERIES TERM-131

  17. MACLAURIN SERIES Example: Find the sum Leibniz’s formula:

  18. MACLAURIN SERIES Important Maclaurin Series and Their Radii of Convergence MEMORIZE: ** Students are required to know the series listed in Table 10.1, P. 620 Denominator is n! even, odd Denominator is n odd MAC

  19. MACLAURIN SERIES Important Maclaurin Series and Their Radii of Convergence Example: Find Maclaurin series

  20. MACLAURIN SERIES TERM-122

  21. MACLAURIN SERIES TERM-082

  22. MACLAURIN SERIES Important Maclaurin Series and Their Radii of Convergence MEMORIZE: ** Students are required to know the series listed in Table 10.1, P. 620 Denominator is n! even, odd Denominator is n odd

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