Homework # 16 - Math 1150
The problems on this homework must be done alone. The honor code is in effect.
You may submit the solutions twice, if you wish.
First Name: Last Name:
1. For which values of \(x\) does the series \(\sum_{n=0}^{\infty} x^n\) converge?
a. Just at \(\{0\}\)
b. \((-1, 1)\)
a. \([-1, 1)\)
b. \([-1, 1]\)
a. All real numbers
2. For which values of \(x\) does the series \(\sum_{n=0}^{\infty} (x - 1)^n\) converge?
b. Just at \(\{1\}\)
a. \((-1, 1)\)
b. \((0, 2)\)