Match each of the power series with its interval of convergence.

1. $\displaystyle \sum_{n=1}^\infty \frac{(10 x)^n}{n^{11}}$
2. $\displaystyle \sum_{n=1}^\infty \frac{(x-11)^n}{(n!)(11)^n}$
3. $\displaystyle \sum_{n=1}^\infty \frac{(x - 11)^n}{11 ^n}$
4. $\displaystyle \sum_{n=1}^\infty \frac{n!( 10 x-11)^n}{11^n}$

A. $\lbrace 11/10 \rbrace$
B. $(0 ,22)$
C. $[ \frac{-1}{10} ,\frac{1}{10} ]$
D. $( -\infty , \infty )$