03Final9C Sample

03Final9C Sample - University of California, Riverside...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
University of California, Riverside Department of Mathematics Final Exam Mathematics 9C - First Year of Calculus Sample 3 Instructions: This exam has a total of 100 points. You have 3 hours. You must show all your work to receive full credit. You may use any result done in class. The points attached to each problem are indicated beside the problem. You are not allowed to use books, notes, or calculators. Answers should be written as p 2 as opposed to 1 : 4142135 ::: . 1. Which of the following sequences ( a n ) n 1 converges? Which diverges? Give reasons for your answers! (a) (5 points) a n = 1 + 1 2 n ± n (b) (5 points) a n = cos ( ) 1 + n n ± n 2. Consider the series 1 X n =2 ( 1) n p n (a) (5 points) Test if the series converges absolutely. Give reasons for your answer. (b) (5 points) Test if the series converges conditionally. Give reasons for your answer. 1
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
3. (10 points) Test if the following series converges or diverges. Give reasons and clearly state if you are using any standard test. 1
Background image of page 2
Image of page 3
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/22/2012 for the course MATH 9c taught by Professor C during the Fall '11 term at UC Riverside.

Page1 / 3

03Final9C Sample - University of California, Riverside...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online