calculus

posted by rod

y= x / (x^2+x)

what are the discontinuities on this graph ?

  1. bobpursley

    what happens at x=-1

  2. Reiny

    more interesting, what happens when x = 0 ?

    y = x/(x(x+1))
    = 1/(x+1) , x ≠ 0
    http://www.wolframalpha.com/input/?i=plot+y%3D+x+%2F+(x%5E2%2Bx)
    so you also have a "hole" at (0,1)

    e.g. let x = .0001
    y = .0001/(.0001(1.0001))
    = appr .99900999...

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