Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an = n/10^n Select the correct choice below and, if necessary, fill in the answer box to complete the choice. A. The sequence converges to limn→∞ an = . (Simplify your answer.) B. The sequence diverges.
Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an = e^n/n^1/n Select the correct choice below and, if necessary, fill in the answer box to complete the choice. A. The sequence converges to limn→∞ an = . (Simplify your answer.) B. The sequence diverges.
Determine if the sequence {an} converges or diverges. Find the limit if the sequence converges. an = (8n + 1/8n – 1)^n Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The sequence converges, and limn→∞ an = . (Type an exact answer.) B. The sequence diverges.
Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an = sin(π – 4/n) Select the correct choice below and fill in any answers boxes within your choice. A. The sequence converges to limn→∞ an = . (Type an exact answer.) B. The sequence diverges.
Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. An = 3n - 9n^2 - 6n Select the correct choice below and, if necessary, fill in the answer box to complete the choice. A. The sequence converges to limn→∞an= (Type an integer or a simplified fraction.) B. The sequence diverges.
Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an = (n + 1/3n)(1 - 1/n) Select the correct choice below and, if necessary, fill in the answer box to complete the choice. A. The sequence converges to limn→∞ an = . (Simplify your answer.) B. The sequence diverges.
Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an = (1 + 6/n)^n Select the correct choice below and, if necessary, fill in the answer box to complete the choice. A. The sequence converges to limn→∞ an = . (Type an exact answer.) B. The sequence diverges.
Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an = lnn/ln(n^4 + 2) Select the correct choice below and, if necessary, fill in the answer box to complete the choice. A. The sequence converges to limn→∞ an = . (Simplify your answer.) B. The sequence diverges.
Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive. ∑ ∞ n=1 n^2/n^5 + 4 ρ = limn→∞ |an+1/an| = (Enter ‘inf’ for ∞.) ∑ ∞ n=1 n^2/n^5 + 4 is: A. convergent B. divergent c. The Ratio Test is inconclusive