Let f (x) = (–1)^[x] (where [ . ] denotes the greatest integer function), then

• A

  Range of f is {–1, 1}

• B

  f is an even function

• C

  f is an odd function

• D

  $\underset{\mathrm{x}\to \mathrm{n}}{lim} \mathrm{f}\left(\mathrm{x}\right)$ exists, for every integer n