Mathematics, 06.06.2020 16:58 hammackkatelyn60

Use the geometric series f(x)equalsStartFraction 1 Over 1 minus x EndFraction equalsSummation from k equals 0 to infinity x Superscript k, for StartAbsoluteValue x EndAbsoluteValueless than1, to find the power series representation for the following function (centered at 0). Give the interval of convergence of the new series. f(9x)equalsStartFraction 1 Over 1 minus 9 x EndFraction Which of the following is the power series representation for f(9x)? A. Summation from k equals 0 to infinity StartFraction 1 Over 1 minus (9 x )Superscript k EndFraction B. Summation from k equals 0 to infinity (9 x )Superscript k C. Summation from k equals 0 to infinity x Superscript 9 k D. Summation from k equals 0 to infinity 9 x Superscript k The interval of convergence is nothing.

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Use the geometric series f(x)equalsStartFraction 1 Over 1 minus x EndFraction equalsSummation from k...