A) 0.2028 B) 0.4055 C) 0.47 D) 0.235 For the series given, determine how large n must be so that ...
(b) Determine whether the series Σ7n+= converges or diverges. n=1 Σ(-1)n+1n2+1 (c) Determine whether the series converges absolutely, con- n= 1 verges conditionally or diverges (d) Find the interval of convergence for the power series Σ(-1)k (2r)* k-2 (b) Determine whether the series Σ7n+= converges or diverges. n=1 Σ(-1)n+1n2+1 (c) Determine whether the series converges absolutely, con- n= 1 verges conditionally or diverges (d) Find the interval of convergence for the power series Σ(-1)k (2r)* k-2
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
Cest: Final this Question: 1 pt 18 of Use any method to determine if the series converges or diverges. Give reasons for your answer. M8 27 21" Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The series converges because the limit used in the nth-Term Test is OB. The series converges by the Absolute Convergence Test. OC. The series diverges by the Absolute Convergence Test. D. The series diverges...
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...
Determine whether the series converges or diverges using one of the Comparison Theorems. (b) X∞ n=1 (1 + cos(n))/ (e^n) [Hint: use −1 < cos n < 1]
(1 pt) Determine convergence or divergence of 6n2 + 6 n=1 A. converges B. diverges Note: You are allowed only one attempt on this problem. Determine the convergence or divergence of the series 6" 8n This series is convergent. This series is divergent. Note: You are allowed only one attempt on this problem. (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...
(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...
conditionally (if any), or diverges. 1. Determine if each series converges absolutely or In n (c) (v-1) (a) (b) 4 7-3 In n In( In n) n-2 (-1)+1 (1)" Inn 1 (d) -2 Vn-n2 +n-1 (e) In n -1a 1 For (f the sequence (a) satisfies a1 a2 1 and a+2 an+ 1 +a for all n 1. This sequence is called the Fibonacci sequence named after the Italian mathematician Leonardo Fibonacci [fibo 'nattfi] (c. 1175-c. 1250) who introduced the...