Exam 9: Section 8: Infinite Series

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Consider the function given by Consider the function given by   . Find the interval of convergence for   . . Find the interval of convergence for Consider the function given by   . Find the interval of convergence for   . .

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E

State where the power series State where the power series   is centered. is centered.

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C

Find the differential equation having the solution Find the differential equation having the solution   . .

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D

Consider the function given by Consider the function given by   . Find the interval of convergence for   . . Find the interval of convergence for Consider the function given by   . Find the interval of convergence for   . .

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Identify the graph of the first 10 terms of the sequence of partial sum of the series Identify the graph of the first 10 terms of the sequence of partial sum of the series   for   . for Identify the graph of the first 10 terms of the sequence of partial sum of the series   for   . .

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Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.)

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Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.)

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Find the radius of convergence of the power series. Find the radius of convergence of the power series.

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Write an equivalent series of the series Write an equivalent series of the series   with the index of summation beginning at   . with the index of summation beginning at Write an equivalent series of the series   with the index of summation beginning at   . .

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Find the radius of convergence of the power series. Find the radius of convergence of the power series.

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Consider the function given by Consider the function given by   . Find the interval of convergence for   . . Find the interval of convergence for Consider the function given by   . Find the interval of convergence for   . .

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Write an equivalent series of the series Write an equivalent series of the series   with the index of summation beginning at   . with the index of summation beginning at Write an equivalent series of the series   with the index of summation beginning at   . .

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Consider the function given by Consider the function given by   . Find the interval of convergence for   . . Find the interval of convergence for Consider the function given by   . Find the interval of convergence for   . .

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Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.)

(Multiple Choice)
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Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.) Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.)

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State where the power series State where the power series   is centered. is centered.

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Find the interval of convergence of the power series Find the interval of convergence of the power series   . (Be sure to include a check for convergence at the endpoints of the interval.) . (Be sure to include a check for convergence at the endpoints of the interval.)

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Find the interval of convergence of the power series Find the interval of convergence of the power series   . (Be sure to include a check for convergence at the endpoints of the interval.) . (Be sure to include a check for convergence at the endpoints of the interval.)

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