Find the limit

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Find the limit.

lim t+2/t-5
t-->5-

  • Find the limit -

    first, we observe what happens when t approaches 5:
    lim (t+2)/(t-5) as t->5
    7/0 = infinity
    which can be (+) or (-) infinity

    since it's 5- or to the left of 5, some of the values can be 4.99, 4.999, 4.9999,, if we choose for instance, 4.999,
    4.999 - 5 = -0.001 *negative*

    thus, the lim (t+2)/(t-5) as t->5- is
    (-) infinity

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