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Posted by on Saturday, February 12, 2011 at 8:46pm.

Find the discontinuities of the given function. Classify them as a point discontinuity or a jump discontunuity.

g(x)= x, x<-3
5x/(x^2-4x), x>= -3

  • calculus - , Saturday, February 12, 2011 at 9:59pm

    Evaluate g(x) at points close to the discontinuity:
    Lim x-> -3- g(x) = -3

    So there is a jump from -3 on the left to -5/7 on the right.

    Can you suggest what kind of discontinuity it is?

  • calculus - , Saturday, February 12, 2011 at 10:19pm

    I assume it's a jump since it jumps from one value to another.

  • calculus - , Sunday, February 13, 2011 at 8:22am

    That is correct.

    If you do not have clear definitions of each type of discontinuity, you can check the following link:

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