A union contract guarantees an 8% salary increase each year for 3 years. For a current salary of $40,000, the salaries f(t) (in thousands of dollars) for the next 3 years are given by f(t) = { 40,000, 0 < t ≤ 1; 43,200, 1 < t ≤ 2; 46,656, 2 < t ≤ 3
where t represents the time in years. Show that the limit of f as t → 1 does not exist.
lim f(t) =
t→1−

lim f(t) =
t→1+