1. MATH 6B CALCULUS II 11.3 Taylor Series

2. Determining the Coefficients of the Power Series Let We will determine the coefficient c k by taking derivatives of the functions at x = a.

3. Determining the Coefficients of the Power Series

5. Taylor and Maclaurin Series The last series displayed is known as a Taylor Series centered at x=a. A Maclaurin series is a Taylor Series centered at x = 0.

6. Binomial Coefficients

7. Binomial Series

9. Remainder of the Taylor Series n-th degree Taylor polynomial (p n ).

10. Other Topics Important Maclaurin Series.