Math 151
Quiz 7
Must show all work.
Due Sunday at midnight in Canvas
Name _______________
For problems #1 through #4, determine whether each series converges or
diverges. State the test used and show all calculations performed to justify your
answer.
5
1. ∑∞
𝑛=1 4𝑛
2. ∑∞
𝑛=2 3
2
√𝑛2
𝑛
3. ∑∞
𝑛=1 2𝑛+1
4. ∑∞
𝑛=2
tan−1 𝑛
2
𝑛
5. a) Given the series ∑∞
𝑛=1 𝑒 𝑛 , show that the hypotheses of the integral test are satisfied.
b) Use the Integral Test to show that the series converges.
6
6. a) Given the series ∑∞
𝑛=1 𝑒 𝑛 , show that the hypotheses of the integral test are satisfied.
b) Use the Integral Test to show that the series converges.
c) Use S10 to approximate the series and find the maximum error in the estimate.