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 | |

x^{2} |
− | x | if x ≥ 2 |

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