Find the interval of convergence of the series: ∑(n=2)^([infinity]) ((-1)^(n+1)(5x-3)^(n))/(n)

Options:
A) [-(4)/(5),-(2)/(5))
B) (-(4)/(5),-(2)/(5)]
C) ((14)/(5),(16)/(5))
D) (14)/(5),(16)/(5)