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March 26, 2017

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F(X)= x-2/(x^2-4) is continuous at x=1 and why as limits approach from 1+ and 1-

  • CALC-LIMITS - ,

    why what?

    limit as x -> 1 from either side is

    (-1-2)/(1-4) = -3/-3 = 1

    one would expect this, as f is continuous.

  • CALC-LIMITS - ,

    oops. I did x -> -1

    limit as x -> 1 is

    (1-2)/(1-4) = 1/3

    Makes sense, since f(x) = 1/(x+2) for x ≠ ±2

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