# 009C Sample Midterm 3

**This is a sample, and is meant to represent the material usually covered in Math 9C for the midterm. An actual test may or may not be similar.**

**Click on the** ** boxed problem numbers to go to a solution.**

## Problem 1

Test if the following sequence converges or diverges.

If it converges, also find the limit of the sequence.

## Problem 2

For each the following series find the sum, if it converges.

If you think it diverges, explain why.

(a)

(b)

## Problem 3

Test if each the following series converges or diverges.

Give reasons and clearly state if you are using any standard test.

(a)

(b)

## Problem 4

Test the series for convergence or divergence.

(a)

(b)

## Problem 5

Find the radius of convergence and the interval of convergence of the series.

(a)

(b)

**Contributions to this page were made by John Simanyi**