An important function f(x) = e x can be represented exactly by an infinite series called a power series. For example, the power series representation for e x is For each real number x, it can be shown that the infinite series on the right converges to the number e x . Power Series
Power Series
Jan 19, 2016
Power Series. An important function f ( x ) = e x can be represented exactly by an infinite series called a power series. For example, the power series representation for e x is - PowerPoint PPT Presentation
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An important function f(x) = ex can be represented exactly by an infinite series called a power series. For example, the power series representation for ex is
For each real number x, it can be shown that the infinite series on the right converges to the number ex.
Power Series
a. The following power series is centered at 0.
b. The following power series is centered at –1.
c. The following power series is centered at 1.
Example 1 – Power Series
Radius and Interval of Convergence
Differentiation and Integration of Power Series
Taylor Series and Maclaurin Series
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