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Home :: Contents (2267) :: Calculus (414) :: Series

Series (7 problems)


The following math problems could be found for the requested category. If you want to find a specific problem, please use the search box on the left menu

Problem #1: Alternate Series

Evaluate .

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Problem #2: Calculus~Series~Integral Test~ID114
Let

Show that .

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Problem #3: Calculus~Series~Power Series~ID115

Use the fact that the power series, centered at 0, for is , find the power series for the following function with center at c.

(a)

(b)

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Problem #4: Calculus~Series~Power Series~ID116

Use the series of to approximate the definite integral with an error less than 0.0005

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Problem #5: Power Series

Use Power Series to approximate the integral:

with an error less than 0.0005

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Problem #6: Power Series

Let. Show that.

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Problem #7: Power Series

Use the fact that the power series, centered at x = 0, for is, find the power series for the following, with center at x = c.

(a) , c = 5

(b) , c = 0

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