1) Consider the series

n=1n(n+6)1

Determine whether the series converges or diverges. If the series converges, determine its value.

2) Determine whether the following series converges or diverges.

a)n=1n5+4n

b)n=19+3n2

3) the three seriesAn,Bn,andCn have terms:

An=n81,Bn=n41,Cn=n1

Use the Limit Comparison Test to compare the following series to any of the above series. Determine if the following series converges or diverges.

a)n=14n8+11n348n2+3n7

b)n=11683n12+11n4+84n4+n8

c)n=111n118n10+93n3+n23n