Assign8 - Math 128 ASSIGNMENT 8 Winter 2010 Submit all...

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

View Full Document Right Arrow Icon

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

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

Unformatted text preview: Math 128 ASSIGNMENT 8 Winter 2010 Submit all problems by 8:20 am on Wednesday, March 24 th in the drop boxes across from MC4066, or in class depending on your instructor’s preference. All solutions must be clearly stated and fully justified . Comment: This assignment is longer than usual. It is strongly recommended that you start working on it early. 1. Find the sum of the given geometric series. a) ∞ X n =0 3 (- 1 4 ) n b) ∞ X n =0 π n 2 3 n- 1 c) ∞ X n =0 3 + 2 n 3 n +2 2. Apply the n th Term Test (i.e. Divergence Test) or the Comparison Test to decide whether each series converges, converges absolutely, or diverges. a) ∞ X n =2 n + 1 n- 1 b) ∞ X n =1 sin nx 2 n , x ∈ R c) ∞ X n =1 2 n n 3 n d) ∞ X n =0 1 1 + 3 n e) ∞ X n =1 1 2- 1 n 2 f) ∞ X n =0 cos( n 2 ) π n + 3 3. Determine whether each of the following series converges absolutely or diverges by comparison to an appropriate p-series. (You may use the result of example 2 on page 699 of your text.) (i) ∞ X...
View Full Document

This note was uploaded on 05/04/2010 for the course MATH 128 taught by Professor Zuberman during the Winter '10 term at Waterloo.

Page1 / 2

Assign8 - Math 128 ASSIGNMENT 8 Winter 2010 Submit all...

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