136.271

Assignment 2 (Sections 9.3, 9.4 and 9.5)

Due February 24, Monday class

TWO CORRECTIONS EMPHASIZED IN RED

1. [9 marks]

(a) Use the Integral Test to test if the series converges. Do not forget to check that the Integral Test is applicable before you apply it.

(b) Use the Comparison Test to determine if converges.

(c) Use the Limit Comparison Test to determine if converges.

2. [9 marks] Check if the following series is absolutely convergent, conditionally convergent or divergent.

(a)

(b) (n=1 in the sum in the handout now changed to n=2)

(c)

3. [7 marks] Find the center of convergence, the radius of convergence, and the interval of convergence of the following series.

(a)

(b) ( 2x-1 is up in the numerator)