Continuous if:

  • if f(x) exists
  • if lim x and lim x exists

Point / Removable

Limit @ x = 3 exists; although not continuous

Jump Discontinuity

Left and right side limits @ x = 2 exists; but the limit @ x = 2 does not exist

Asymptotic Discontinuity

Left and right side limit @ x = 2 doesn’t exist