Use the Alternating Series Test, if applicable, to determine the convergence or divergence of the series....
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-
5. [-/10 Points] DETAILS 0/2 Submissions Used Use the Alternating Series Test, if applicable, to determine the convergence or divergence of the series. (-1) n- 7 Identify an Evaluate the following limit. lim an Since lim an ? v 0 and an +11? va, for all n, --Select-- Submit Answer
Calc II: Convergence of Series: Test the series for convergence or divergence. C12 157 Identify bn Evaluate the following limit. lim Dn Since imbn 20 and bn+12 bor all n Select If the series Is convergent, use the Alternating Series Estimation Theorem to determine how many terms we need to add in order to find the sum with an error less than 0.0001? (If the quantity diverges, enter DIVERGES.) Test the series for convergence or divergence. C12 157 Identify bn...
I'm having difficulty how many terms need to be added in. Test the series for convergence or divergence. 00 Σ (-1)" n2n n = 1 Identify bn. 1 n2" Evaluate the following limit. lim bn n → 00 0 Since lim bn O and bn + 1 s bn for all n, the series is convergent n00 If the series is convergent, use the Alternating Series Estimation Theorem to determine how many terms we need to add in order to...
7. Use the Alternating Series Test to determine the convergence or divergence of the series a) \(\sum_{n=1}^{\infty} \frac{(-1)^{n} \sqrt{n}}{2 n+1}\)b) \(\sum_{n=1}^{\infty} \frac{(-1)^{n} n}{2 n-1}\)8. Use the Ratio Test or the Root Test to determine the convergence or divergence of the seriesa) \(\sum_{n=0}^{\infty}\left(\frac{4 n-1}{5 n+7}\right)^{n}\)b) \(\sum_{n=0}^{\infty} \frac{\pi^{n}}{n !}\)
Use the Divergence Test to determine whether the following series diverges or state that the test is inconclusive. n=1 Select the correct answer below and fill in the answer box to complete your choice. k-+00 O A. According to the Divergence Test, the series converges because lima ko (Simplify your answer.) OB. According to the Divergence Test, the series diverges because lim aka (Simplify your answer.) OC. The Divergence Test is inconclusive because lima. (Sirrplify your answer.) OD. The Divergence...
Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is inconclusive, determine the convergence or divergence of the series using other methods. (If you need to use oo or -oo, enter INFINITY or -INFINITY, respectively.) 0 5 n gh n = 1 a en + 1 lim n-> 00 a n
Use the Limit Comparison Test to determine the convergence or divergence of the series. 6 + 1 lim = L > 0 converges diverges Use the Limit Comparison Test to determine the convergence or divergence of the series. Στέ ο, Vn2 + 7 √2 + 7 lim - =L >0 n00 converges diverges -/2 POINTS LARCALCET6 9.4.016. Use the Limit Comparison Test to determine the convergence or divergence of the series. 61 + 1 70 + 1 6 7 +...
Problem 3 20 points) Test the series for convergence or divergence Ecofan) su (3) - Part 1: Divergence Test Identity the corresponding eventually positive terms Evaluate the imtim Since lim , Select the Divergence Test to Select - Part 2. Alternating Series Test -Test for Convergence Compute the derivative: Since - Select the sequence Select So the Atemating Series Tests that Select - About Conditional Since the corresponding eventually positive senes ) Select by the Select the atemating series (un)...
Use the Root Test to determine the convergence or divergence of the series. (If you need to use coor- enter INFINITY or INFINITY, respectively.) (!)" Σ lim converges diverges Inconclusive Need Help? Read it Talk to Tutor Submit Answer