?Use the binomial series to expand the given function as a power series. State the

Chapter 10, Problem 35

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QUESTION:

Use the binomial series to expand the given function as a power series. State the radius of convergence.

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QUESTION:

Use the binomial series to expand the given function as a power series. State the radius of convergence.

ANSWER:

Step 1 of 3

Binomial series is

If we move the starting  to 2 then

Where the part that says  means if there are numbers between 3 and , then multiply 3 by  by . up to . One reason to get it into this form is it is easier to use in the Ratio Test.

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