MATH 152 Activity 10 (Section 10.3)
Directions: Put both your name and your partners name on the answersheet. Use scratch paper for work, meaning only
put the answers on the answer sheet. Turn in only ONE answer sheet per pair. Calculators are allowed and you may
use your notes and textbook. Failure to follow these instructions will result in a 1 point deduction. Neat handwriting is
expected.
∞
X
1
√
. Name the test you applied. If you used the integral
n=2 n lnn
test, what is the value of the integral? If you used a comparison test, what is the comparison series?
1. Determine whether the series converges or diverges:
∞
X
sin n + 5
. Name the test you applied. If you used the
n2
n=1
integral test, what is the value of the integral? If you used a comparison test, what is the comparison series?
2. Determine whether the series converges or diverges:
3. Determine whether the series converges or diverges:
∞
X
2
ne−n . Name the test you applied. If you used the integral
n=1
test, what is the value of the integral? If you used a comparison test, what is the comparison series?
∞
X
n5 + n + 1
. Name the test you applied. If you used the
n8 − n
n=2
integral test, what is the value of the integral? If you used a comparison test, what is the comparison series?
4. Determine whether the series converges or diverges:
5. Find the 3rd partial sum, s3 , of the series
∞
X
3
and estimate the error.
n5
n=1
6. Find the value of n that guarantees sn approximates
∞
X
1
to within 10−6 .
2
n
n=1
1