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MUST SHOW YOUR WORKPROCESS!! infinity n=1 n3enSolution .pdf

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MUST SHOW YOUR WORK/PROCESS!! infinity n=1 n3/en Solution Use the ratio test: lim(m-->inf) a_(m+1)/a_m (m+1)^3*e^m/(m^3*e^(m+1)) [(m+1)^3/m^3 ]* (1/e) Take the limit as m goes to infinity: 1*(1/e) 1/e < 1, so the series converges by ratio test..

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MUST SHOW YOUR WORK/PROCESS!! infinity n=1 n3/en Solution Use the ratio test: lim(m-->inf) a_(m+1)/a_m (m+1)^3*e^m/(m^3*e^(m+1)) [(m+1)^3/m^3 ]* (1/e) Take the limit as m goes to infinity: 1*(1/e) 1/e < 1, so the series converges by ratio test.

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MUST SHOW YOUR WORKPROCESS!! infinity n=1 n3enSolution .pdf

  • 1. MUST SHOW YOUR WORK/PROCESS!! infinity n=1 n3/en Solution Use the ratio test: lim(m-->inf) a_(m+1)/a_m (m+1)^3*e^m/(m^3*e^(m+1)) [(m+1)^3/m^3 ]* (1/e) Take the limit as m goes to infinity: 1*(1/e) 1/e < 1, so the series converges by ratio test.