# Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.) lim x→2 f(x), where f(x) =    12  −  2x    if x < 2 x2  −  x    if x ≥ 2

Question

Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.)

lim x→2 f(x), where f(x) =
 12 − 2x if x < 2 x2 − x if x ≥ 2