Math 1320 - Lab 5
Name:
In this lab you will create a flow chart to help you decide which convergence test to use when
determining whether or not a given series converges. Create this on one side of a blank sheet of
paper and include no information other than that pertinent to series convergence tests. If you
follow these rules you will be allowed to use this flow chart on the exam. Once you have created
the flow chart, use it to determine the convergence of the series below. Your flow chart should
include the following series convergence tests/results (you may need more questions than just
’Do I use geometric series test?’ to get to the appropriate result, e.g. ’Are all terms positive?’):
• n-th term test
• geometric series test
• p-series test
• integral test
• comparison test
• limit comparison test
• alternating series test
• absolute convergence test
• ratio test
• root test
1.
∞
P
n=1
2.
∞
P
n=1
3.
∞
P
n=1
4.
∞
P
n=1
5.
∞
P
n=1
6.
∞
P
n=1
√
n
(−1)n−1 n+1
(−5)2n
n2 9n
n3
n2 +3
n
n3 +1
cos(10)
n1.1
e4t (1.2)n