# Determine whether the series converges and if it

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Determine whether the series converges, and if it converges,determine its value.Converges (y/n):Value if convergent (blank otherwise):4.(1 pt) Match each of the following with the correct state-ment.C stands for Convergent, D stands for Divergent.1.n=1ln(n)8n2.n=112+4
8+2n5.(1 pt) Use the ratio test to determine whethern=14n+9n!converges or diverges.(a) Find the ratio of successive terms.Write your answer asa fully simplified fraction. Forn14,limnan+1an=limn(b) Evaluate the limit in the previous part. Enterasinfinityand-as-infinity.If the limit does not exist, enterDNE.limnan+1an=(c) By the ratio test, does the series converge, diverge, or isthe test inconclusive??6.(1 pt) Use the ratio test to determine whethern=26n2+22nconverges or diverges.(a) Find the ratio of successive terms.Write your answer asa fully simplified fraction. Forn26,limnan+1an=limn(b) Evaluate the limit in the previous part. Enterasinfinityand-as-infinity.If the limit does not exist, enterDNE.1
(c) By the ratio test, does the series converge, diverge, or isthe test inconclusive??7.(1 pt) Use the ratio test to determine whethern=20n(-2)nn!converges or diverges.(a) Find the ratio of successive terms.Write your answer asa fully simplified fraction. For
(b) Evaluate the limit in the previous part. Enterasinfinityand-as-infinity.If the limit does not exist, enterDNE.
(c) By the ratio test, does the series converge, diverge, or isthe test inconclusive??8.(1 pt) Use the ratio test to determine whether(n+1)!