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

1. $\displaystyle \sum_{n=1}^\infty \frac{(x-4)^n}{(n!)(4)^n}$
2. $\displaystyle \sum_{n=1}^\infty \frac{(7 x)^n}{n^{4}}$
3. $\displaystyle \sum_{n=1}^\infty \frac{n!( 7 x-4)^n}{4^n}$
4. $\displaystyle \sum_{n=1}^\infty \frac{(x - 4)^n}{4 ^n}$

A. $( -\infty , \infty )$
B. $(0 ,8)$
C. $[ \frac{-1}{7} ,\frac{1}{7} ]$
D. $\lbrace 4/7 \rbrace$