Warning: MathJax requires JavaScript to process the mathematics on this page.
If your browser supports JavaScript, be sure it is enabled.

1. Suppose $f(x) = \Sigma a_n (x - 3)^n$ has a radius of convergence = $r$ about the point $x_0 = 3$. Then we can define the domain of $f$ to be $(3- r, 3 + r)$.

               A) True                         B) False

2. Suppose $f(x) = \Sigma a_n (x + 1)^n$ has a radius of convergence = $4$ about the point $x_0 = -1$. Then we can define the domain of $f$ to be $(3, 5)$.

               A) True                         B) False

Suppose $f(x) = \Sigma a_n (x + 1)^n$ has a radius of convergence = $4$ about the point $x_0 = -1$. Then we can define the domain of $f$ to be $(-5, 3)$.

               A) True                         B) False