Find the interval of convergence for the power series
∑ n = 1 ∞ ( x − 2 ) n n 4 5 ( 5 n − 4 ) . {\displaystyle \sum _{n=1}^{\infty }{\frac {(x-2)^{n}}{n^{\frac {4}{5}}(5^{n}-4)}}.}
