See the attached file for questioins

A. Use the comparison test to determine the convergence or divergence of the series

4+

1

5

+0.3+

1

3+2

+

1

9+3

+

1

27+4

+

1

81+5

+...

, showing all work.

B. Use the nth term test to determine the convergence or divergence of the series, showing all work.

j

2

+1

j

2

j=1

¥

å

C. Use the integral test to determine the convergence or divergence of the series, showing all work.

1

3k+1

k=1

¥

å

D. Use the alternating series test to show the convergence or divergence of the series, showing all work.

-1

()

i+1

i+3

i

2

+10

æ

è

ç

ö

ø

÷

i=1

¥

å

E. Use the root test to determine the convergence or divergence of the series, showing all work.

100n

e

n

n=1

¥

å