3. (20 points) Infinite Series (a) (10 points) Determine the convergence or divergence of the following...
Infinite Series (a) Determine the convergence or divergence of the following series by applying one of the given test. Half credit will be given to those the correctly apply another test instead. (3)" =" (Limit Comparison Test or Root Test) n=1 (b) Identify which two series are the same and then use the Ratio Test and/or Alternating Series Test to determine if the series is convergent or divergent A. (-1)" (n-1)2n-1 B. (-1)"+1 n2 1
Infinite Series Determine the convergence or divergence of the following series by applying one of given test. Half credit will be given to those the correctly apply another test instead. n(3)"e" (Limit Comparison Test or Root Test) Identify which two series are the same and then use the Ratio Test and/or Alternat Series Test to determine if the series is convergent or divergent A. (-1)" (n-1)2-1 ns2 B. À (-1)"+1 nen c. § (-1)+1 (n + 1)2
Infinite Series Determine the convergence or divergence of the following series by applying one of given test. Half credit will be given to those the correctly apply another test instead. n(3)"e" (Limit Comparison Test or Root Test) Identify which two series are the same and then use the Ratio Test and/or Alternat Series Test to determine if the series is convergent or divergent A. (-1)" (n-1)2-1 ns2 B. À (-1)"+1 nen c. § (-1)+1 (n + 1)2
sd. Detamine the convergence or divergence of an aternating series tt Detemne me convergence or divergence of sees-.1 the-compl or direct comparisom test. (You must jusitity your answer to get a credit 12. Determine the convergence or divergence or inconclusive of the series:Using the rasio test tYou must justity your answer to get a credit) We were unable to transcribe this image10. Determine the convergence or divergence of an alternating ser (You must justithy os (-1) your answer to get...
Write several complete simple sentences about how each
series is convergent or divergent, including which testis applied!
nth-Term Test for Divergence, Geometric Series Test, p-Series Test,
Integral Test, Absolute Convergence, Alternating-Series Test, Ratio
Test, Root Test, Direct Comparison Test, & Limit Comparison
Test. Show each step clearly.
1 3. Σ=100 n
(1 pt) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If either test can be applied to the series, enter CONV if it converges or DIV If it diverges. If neither test can be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the comparison tests cannot be applied to it, then you must enter NA...
(1 point) Use the Root Test to determine the convergence or divergence of the given series or state that the Root Test is inconclusive. 1 9" 1 HII L = lim Van (Enter 'int' for 00.) TH A. convergent B. divergent C. The Root Test is inconclusive
3. Determine the convergence or divergence of the following infinite series to through the criteria of comparison, integral or p-series 5
3. Determine the convergence or divergence of the following infinite series to through the criteria of comparison, integral or p-series 5
Use the Alternating Series Test, if applicable to determine the convergence or divergence of the series. (-1)"\n(n) n n2 Identify a Evaluate the following limit. lima Since lima 7.0 and an + 1 2 an for all n-Select-
Х webassign.net 9. [-12 Points) DETAILS OSCALC1 9.6.328-337B.WA.TU Apply the root test to the series. Σ (+) 2n - 1 n=1 Find the limit lim Vanl. Use your result to determine the convergence of the series. o absolutely convergent divergent inconclusive 122 Tutorial Additional Materials eBook