Ans: Option( C).using integral test the series is divergent.
Which test could be used to show that the series on diverges: Select one: a. Ratio...
please show all work Use any method to determine if the series converges or diverges. Give reasons for your answer. n! Σ (2n + 3)! n=1 Select the correct choice below and fill in the answer box to complete your choice. O A. The series diverges because the limit used in the nth-Term Test is OB. The series converges because the limit used in the Ratio Test is O c. The series converges because the limit used in the nth-Term...
PLEASE DETERMINE IF CONVERGES OR DIVERGES & JUSTIFY WITH WHICH TEST • Nth Term Test • Geometric Series Test • P-Series Test • Direct Comparison Test • Ratio Test • Alternating Series Test • Integral Test • Telescoping Test [0=2 1 In(n)
PLEASE DETERMINE IF CONVERGES OR DIVERGES & JUSTIFY WITH WHICH TEST • Nth Term Test • Geometric Series Test • P-Series Test • Direct Comparison Test • Ratio Test • Alternating Series Test • Integral Test • Telescoping Test An=1 10"
E) The series Σ-(-1)" 2- n a. converges conditionally. b. diverges by the nth term test. c. converges absolutely, d. converges by limit comparison test. F) The sum of the series 2-3)" is equal to e. None of the above E) The series Σ-(-1)" 2- n a. converges conditionally. b. diverges by the nth term test. c. converges absolutely, d. converges by limit comparison test. F) The sum of the series 2-3)" is equal to e. None of the above
Use the root test to determine if the following series converges or diverges. Š - 13 n=1 (8 +(1/n) 2n Since the limit resulting from the root test is , the root test is inconclusive. (Simplify your answer. Type an exact answer.) shows the series converges. is inconclusive. shows the series diverges. Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satisfied. Fin...
(1 point) Select the FIRST correct reason why the given series diverges. A. Diverges because the terms don't have limit zero B. Divergent geometric series C. Divergent p series D. Integral test E. Comparison with a divergent p series F Diverges by limit comparison test G. Diverges by alternating series test 1. 2. n ln(n) cos(nT) In(4) 02n 3 (n182 +1)" 2n (1 point) Select the FIRST correct reason why the given series diverges. A. Diverges because the terms don't...
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...
Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check that the conditions of the Integral Test are satisfied. 7 Σ net n? +25 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA The series converges because 7 dx = +25 (Type an exact answer.) 7 Ов. The series diverges because dx = x + 25 (Type an exact answer.) O c. The...
(5 pts) Consider the series 8 W arctan(n) n6 n=1 (a) For all n > 1, 0 < arctan(x) < x2 Give the best possible bound. And so 0 < an arctan(n) = <bn n/(2n^6) Since 0 < an <bn, which of the following test should we apply? A. The integral test B. The comparison test. C. The nth term test for divergence D. The ratio test E. The limit comparison test F. The p-series test G. The root test...
(3 pts) Consider the series where n=1 (7n + 4)54 a = (7751 +15) In this problem you must attempt to use the Root Test to decide whether the series converges. Compute p= lim Van Enter the numerical value of the limit pif it converges, INF if it diverges to infinity, MINF if it diverges to negative infinity, or DIV If it diverges but not to Infinity or negative infinity. P= What is the conclusion of the root test? O...