Sequence convergence/divergence

Determine whether a sequence converges or diverges, and if it converges, to what value.

Problem

a, start subscript, n, end subscript, equals, start fraction, 5, n, minus, 1, divided by, n, end fraction
limnan=\displaystyle\lim_{n\to\infty}a_n=
  • Your answer should be
  • an integer, like 6
  • an exact decimal, like 0, point, 75
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4