멱급수(거듭제곱급수) $\displaystyle \sum _ {n = 1} ^ {\infty} \frac{3 ^ {n} {\ln} n} {n} \left (x - 5 \right) ^ {n}$ 의 수렴구간은?

• ①$\left (2, 8 \right)$
• ②$\displaystyle \left [- \frac{1} {3}, \frac{1} {3} \right)$
• ③$\displaystyle \left (- \frac{1} {3}, \frac{1} {3} \right]$
• ④$\displaystyle \left [\frac{14} {3}, \frac{16} {3} \right)$
• ⑤$\displaystyle \left (\frac{14} {3}, \frac{16} {3} \right]$