Show (briefly) why the following series diverge. State a series or any test that you use....
State whether the following series converge or diverge. Be sure to state any tests that you use to reach your conclusion. List and support all conditions that are met to make your conclusion. (a) 3n2 5-n (b) iM8 We were unable to transcribe this image(p)
(35 pls) Determine if each of the following seven series converge or diverge. Do not use a test for convergence or a test for divergence more than once. If you use the Integral Test, do not bother to show me that you checked the three prerequisites to that test. i) 2(04-) n.1 ii) (-1)"n(2n)! -1 (n + 1) (2n) 21 n=1 n 3 iii) 2+ n-1 iv) n=0 1+en 00 1 v) n-07T +n* vi) (-1)"e" 1+en n=0 vii) Ž(-1)"...
Determine if the following series converge or diverge, using any of the methods we discussed in class. Be sure and state which test/method you used, and show all relevant steps for full credit. If a series converges, be sure and state/show if it converges absolutely or conditionally. Answers without work shown may be given no credit 2-1 (g) Σ n(ln(n))3 2-1 (g) Σ n(ln(n))3
7. Determine whether the following series converge or diverge. Show your work for full credit. State the test you use and show the reasoning that allows you to use that test. a) o ni+sin(n) a 2n=1 4+2n-1 Joo 52n+3 c) c) n=1 (2n)!
a) Use the special series and convergence test table to find the sum of the series. Be sure to show all work and substitutions. 00 3 8n NO For parts b, c, d, and e, show that the series converges or diverges. The table of special series and convergence tests should be used. Identify the type of convergence test used and be sure to show all work. (Hint: two should diverge) b) 2 + 7 con Σ Test: (-1) in...
Determine if each of the following seven series converge or diverge. Do not use a test for convergence or a test for divergence more than once. IF you use the Integral Test, do not bother to show me that you checked the three prerequisites to that test. Στη n=0π" +η"
4. Use the integral test to determine whether the following series converge or diverge. Hint: Use a u-substitution for each integral. n=2 B. nln (n) .nInnInI(n) 4. Use the integral test to determine whether the following series converge or diverge. Hint: Use a u-substitution for each integral. n=2 B. nln (n) .nInnInI(n)
2. Determine whether the following series converge or diverge. a.) 1 iMiM8 n-3 (n + 2)n +5 tan(n) n2 + 1 00 b.) N=1
Determine whether the following SERIES converge or diverge. Your work should include: 1) the name of the test used 2) the execution of the test and any conditions required for execution 3) the conditions for convergence/divergence 4) conclusion 2 3 6) Please use the integral test for this series; it is not necessary to find the derivative to conclude the function is n(inn) decreasing, but you must state the 3 conditions required. n=2
N/w Use the nth-Term Test for divergence to show that the series is divergent, or state that the test is inconclusive. 00 n+2 7) n 1 1 A) converges, B) diverges C) converges, 2 D) inconclusive Determine if the series converges or diverges. If the series converges, find its sum. 6 81 8) 4n-1)(4n+3) n-1 A) converges; 1 B) converges C) converges; : 1 D) diverges 6 9) n(n+ 1)(n+2) D) converges; n-1 C) diverges 2 3 B) converges; 4...