CALCULUS II
FINAL EXAM
Sample 1
Student Name: ___________________________________________
Student ID Number: ______________________________________
Course Title: Calculus II
Duration of Exam: 2 Hours
Number of Exam Pages: 10 pages (including this cover sheet)
Exam Type: Closed book
Total Mark: /30
Page 1 of 20
,Question 1: (4 marks)
Find the sum of the following Series
∞
1 (−1)𝑛
∑( 𝑛+ )
2 5𝑛
𝑛=0
Page 2 of 20
, Question 2: (6 marks)
a) Use the Integral Test to determine whether the series converges or diverges?
b) Use the Ratio Test to determine whether the series converges or diverges?
Page 3 of 20
FINAL EXAM
Sample 1
Student Name: ___________________________________________
Student ID Number: ______________________________________
Course Title: Calculus II
Duration of Exam: 2 Hours
Number of Exam Pages: 10 pages (including this cover sheet)
Exam Type: Closed book
Total Mark: /30
Page 1 of 20
,Question 1: (4 marks)
Find the sum of the following Series
∞
1 (−1)𝑛
∑( 𝑛+ )
2 5𝑛
𝑛=0
Page 2 of 20
, Question 2: (6 marks)
a) Use the Integral Test to determine whether the series converges or diverges?
b) Use the Ratio Test to determine whether the series converges or diverges?
Page 3 of 20
