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Math Help - One Sided limit

  1. #1
    Super Member
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    One Sided limit

    Find the one sided limits at x=0 of the function:

    f(x) = (x + x^2) / |x| , (x != 0)

    Can you at least get me started. I'm not sure what to do...Thanks.
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  2. #2
    MHF Contributor Calculus26's Avatar
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    recall the definition of |x| = x if x > 0

    = -x if x < 0


    (x + x^2) / |x| = (x+x^2)/x = (1+x) if x > 0 use this for the right hand limit


    (x + x^2) / |x| = (x+x^2)/-x = -(1+x) if x > 0 use this for the left hand limit
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