- #1
McAfee
- 96
- 1
Homework Statement
Select the FIRST correct reason why the given series converges.
A. Convergent geometric series
B. Convergent p series
C. Comparison (or Limit Comparison) with a geometric or p series
D. Converges by alternating series test
The Attempt at a Solution
I will go over my reasoning for each problem.
1. A. I really it was a geometric and r is 1/16 which is less than 1 meaning it is convergent.
2. I want to say it is comparsion but I'm not sure.
3. Not sure.
4. B. Want to say alternating but it doesn't fit.
5. D. It alternates, ignoring signs it decrease, and the limit as x goes to infinity equals 0. All meaning it converges due to the alternating series test.
6. D. It alternates, ignoring signs it decrease, and the limit as x goes to infinity equals 0. All meaning it converges due to the alternating series test.