01 Midterm-Sample

01 Midterm-Sample - =2 2 1 2 n& 1 2 n 1(a(10 points Find...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
University of California, Riverside Department of Mathematics Midterm Mathematics 9C - First Year of Calculus Sample 1 Instructions: This exam has a total of 100 points. You have 50 minutes. 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 books, notes, or calculators. Answers should be written as p 2 as opposed to 1 : 4142135 ::: . 1. (20 points) Does the following sequence converge or diverge? If the justify your answers! a n = ln n n P 1 n
Background image of page 1

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

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: =2 2( 1 2 n & 1 2 n +1 ) : (a) (10 points) Find an expression for the n th partial sum s n of the series. (b) (10 points) Compute lim n !1 s n : 3. (20 points) Determine whether the following series converges absolutely, conditionally or whether it diverges. Be sure to justify your answers! 1 X n =1 ( & 1) n n 4. (20 points) Determine the convergence or divergence of the following series. Be sure to justify your answer! 1 X n =1 1 n 2 3 n 1 5. Find the radius of convergence and the interval of convergence of the series. (a) (10 points) P 1 n =0 p nx n (b) (10 points) P 1 n =0 ( & 1) n ( x & 3) n 2 n +1 2...
View Full Document

Page1 / 2

01 Midterm-Sample - =2 2 1 2 n& 1 2 n 1(a(10 points Find...

This preview shows document pages 1 - 2. Sign up to view the full document.

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