Use the ratio test to find whether the following series converge or diverge 7 Yl
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)
Determine if the following series converge or diverge by using the appropriate test. 8. 7* Determine if the following series converge or diverge by using the appropriate test. 8. 7*
9. Does series converge or diverge? converge or diverge?-(9) 7"- 6" /2 9. Does series converge or diverge? converge or diverge?-(9) 7"- 6" /2
Use the ratio or roottest to determine if the following series below converge or diverge (12 points each) on
Determine whether the following series converge or diverge.
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)!
(10 pts) 5. Determine if the following series converge or if they diverge, using the Ratio Test or the Root Test. l- ܐ ܀ /0 ܐܓ 2
3) Do the following series diverge, absolutely converge, or conditionally converge? Write which test you use for each part. (9 points each) (Hint: use L'Hopital's Rule for part b) ܠܸܒܕܐܕ
2. Use the limit comparison test to determine whether the following series converge or diverge. n Α.Σ 2 + n3 n=2 2n3 - n B. S 3n5 + 2n2 + 1 n=1 5" c. S 3" + 2 n= In(n) 1 D. Σ (Hint: Try comparing this to n2 n3/2 n=3 n=3 I MIMO Ε.Σ sin (1) (Hint: Try comparing this to n n=1 n=1
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"