Calculus - Strategies for Testing Series

Calculus - Strategies for Testing Series

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11.7#1, Series 1/(n+3^n), Direct Comparison Test DCT

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1 of 20

11.7#1, Series 1/(n+3^n), Direct Comparison Test DCT

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Calculus - Strategies for Testing Series

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  1. 1 11.7#1, Series 1/(n+3^n), Direct Comparison Test DCT
  2. 2 11 7#2 Root Test, Series (2n+1)^n/(n^(2n))
  3. 3 11 7#3 Test for Divergence (for an Alternating Series), Series (-1)^n*n/(n+2)
  4. 4 11.7#4 Alternating Series Test
  5. 5 11.7#5 Ratio Test
  6. 6 11.7#6, Limit Comparison Test, Series 1/(2n+1)
  7. 7 11.7#7 integral test, Series 1/(n*sqrt(ln(n)))
  8. 8 11 7#8 Ratio Test, series (2^k*k!)/(k+2)!
  9. 9 11 7#8 Test for Divergence, series (2^k*k!)/(k+2)!
  10. 10 11.7#9 Ratio Test
  11. 11 11.7#10 Integral Test, with Klay Thompson, Series n^2*e^(-n^3)
  12. 12 Series 1/n^3, Series 1/3^n
  13. 13 11 7#12 blue & yellow chalks? Direct Comparison Test (Short Solution)
  14. 14 11 7#12 Both LCT and DCT
  15. 15 11.7#13 Ratio Test, Series 3^n*n^2/n!
  16. 16 11 7#14 Checking for Absolute Convergence
  17. 17 11.7#16 Both LCT and DCT
  18. 18 11 7#25 Ratio Test, series n!/e^(n^2)
  19. 19 11 7#37 Root Test, Series (2^(1/n)-1)^n
  20. 20 11 7#38 Limit Comparison Test, Series (2^(1/n)-1)

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