166 SCW 11.7: Some Series Examples!
166 SCW 11.7: Some Series Examples!
For each series below, determine if the series converges or diverges. In each case, justify your solution.
1.∞∑k=1k55k
1.
∞
∑
k=1
k
5
5
k
2.∞∑k=15+kk!
2.
∞
∑
k=1
5+k
k!
3.∞∑n=1n+12n+1
3.+1
∞
∑
n=1
n+1
2
n
4.∞∑n=1012+1n
4.+
∞
∑
n=10
1
2
1
n
5.∞∑k=1k12+1k
5.+
∞
∑
k=1
k
1
2
1
k
6.∞∑k=21k2(lnk)
6.
∞
∑
k=2
1
k
2
(lnk)