Test the series for convergence or divergence. ∞ Part 1: Divergence Test Identify: bn = n=11 Evaluate the limit: lim bn n→X Since lim bn is Select n→Xx = 53/n (-1)n ▼, then the Divergence Test tells us Select

Calculate whether it is convergent or divergent. (4x)2* evxx2x X=1

Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive. p = lim 287 TL-00 (n!)² 1(2n)! an+1 an is: A. convergent 2 (Enter 'inf for ∞o.) OB. divergent OC. The Ratio Test is inconclusive 7-1 (n!) ² (2n)!

Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive. ∞ 7n² (2n + 1)! n=1 P = lim an+1 an = (Enter 'inf' for ∞.) n→∞ 7n² (2n + 1)! n=1 O A. convergent O B. divergent O C. The Ratio Test is inconclusive is:

аn+1 8. Suppose lim,+o0 3. Find the radius of convergence of an а, (-1)" En=0 -(x – 8)" ? 2"5

2n+1 3. Test the convergence of Ln=1 n3+1 by limit comparison test.

Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive. p=lim |42|= (Enter 'inf' for .) n=1 n-1 17 n125 A. convergent OB. divergent OC. The Ratio Test is inconclusive

Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive.∑n=1∞enn!ρ=limn→∞|an+1an|=  (Enter 'inf' for ∞.) ∑n=1∞enn! is:A. convergentB. divergentC. The Ratio Test is inconclusive

Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive. 1 (2n)! n=1 P= lim an+1 an n 00 (Enter 'inf for o.) 1 is: (2n)! n=1 OA. convergent B. divergent C. The Ratio Test is inconclusive

Σ (-1)** In+15 a. Absolutely Convergent b. Conditionally Convergent с. Divergent