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
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