Josephood7

Determine whether the series is absolutely convergent, conditionally convergent, or divergent:

Input A for absolutely convergent, C for conditionally convergent, and D for divergent: 

Apply the Ratio Test to determine convergence or divergence, or state that the Ratio Test is inconclusive.

ρ=limn→∞∣∣an+1an∣∣=ρ=limn→∞|an+1an|= 

Assume that |an+1an||an+1an| converges to ρ=16ρ=16. What can you say about the convergence of the given series?

limn→∞∣∣bn+1bn∣∣=limn→∞|bn+1bn|= 

Use the Root Test to determine the convergence or divergence of the given series or state that the Root Test is inconclusive.

L=limn→∞|an|−−−√n=L=limn→∞|an|n= 

Match each of the following with the correct statement.
A. The series is absolutely convergent.
C. The series converges, but is not absolutely convergent.
D. The series diverges.
Match each of the following with the correct statement.
A. The series is absolutely convergent.
C. The series converges, but is not absolutely convergent.
D. The series diverges.