Class Notes (806,696)
Mathematics (337)
MATH 1005 (43)
Lecture

# T4Solutions.pdf

2 Pages
94 Views

School
Carleton University
Department
Mathematics
Course
MATH 1005
Professor
Ida Toivonen
Semester
Fall

Description
MATH 1005B Test 4 Solutions March 20, 2012 [Marks] Questions 1-4 are multiple choice. Circle the correct answer. Only the answer will be marked. ∞ n+1 [3] 1. The sum of the series is 3n n=0 2 4 (a) 3 (b) (c) (d) 1 (e) 6 3 3 Answer:(e) [3] 2. Which of the following series converge(s)? 1 ∞ 4n+1 ∞ 6n (i) (ii) (iii) 2n 5n 5n n=0 n=0 n=0 (a) (i), (ii) and ((b) (i) and (i(c) (i) and (ii(d) (ii) and (ii(e) (i) Answer:(b) [3] 3. Which of the following series converge(s)? ∞ ∞ n ∞ 1 (−1) 1 (i) √ (ii) √ (iii) √ n=1 n n=1 n n=1n n (a) (i), (ii) and ((b) (i) and (i(c) (i) and (ii(d) (ii) and (ii(e) (iii) Answer: (d) [3] 4. Which of the following series converge(s) absolutely? n ∞ n (i) (−1) (ii) (−1) (iii) n nln(n) n2 n +1 n=2 n=0 n=0 (a) (i), (ii) and ((b) (i) and (i(c) (ii) (d) (ii) and (ii(e) (iii) Answer:(c) ∞ 2 n +2 n +1 [3] 5. Determine whether or not the series 4 converges. Justify your answer. n=1 n +1 Solution: n +2 n +1 lim √ =1 ▯=0 ⇒ the series diverges by th-term test. n→∞ n +1 n [3] 6. Determine whether or not the series4 converges. Justify your answer. 2n n=0 Solution: 3 +4 3n 3 n
More Less

Related notes for MATH 1005

OR

Don't have an account?

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Join to view

OR

By registering, I agree to the Terms and Privacy Policies
Just a few more details

So we can recommend you notes for your school.