MTH104 Practice Questions

Math 104 Practice Midterm Exam 3B

Write all answers (A, B, C, D, E, F) in the spaces provided below!

1. 7.

2. 8.

3. 9.

4. 10.

5. 11.

6. 12.

1. The testing booklet contains 12 multiple choice questions and 3 free response questions.
2. No calculators are permitted.
3. One piece of paper (8.5 in. by 11 in.) is permitted, with writing on both sides allowed.
4. There is no penalty for guessing.
5. No partial credit will be given on the multiple choice questions.
6. Which statement is true of the following series

(I ) X n=1 (−1)n+1n2 n2 + 1 = 1 2 − 4 5 + 9 10 − . . .

(II ) X n=1 n 2 + n2 = 1 3 + 1 3 + 3 11 + . . .

(III ) X n=1 (−1)n+1n ln(n) 1 + n2 = 2 ln(2) − 3 ln(3) + 3 ln(3)

A.) (I) converges, (II) and (III) diverge. B.) (II) converges, (I) and (III) diverge. C.) (III) converges, (I) and (II) diverge. D.) (I) and (II) converges, (III) diverge. E.) (I) and (III) converges, (II) diverge. F.) (II) and (III) converges, (I) diverge.