Using a concept that I just saw someone else use (ThePerfectHacker) in another post, when x approaches 4 from the positive side note that |x - 4| = x - 4. When x approaches 4 from the negative side, |x - 4| = -(x - 4).

If the limits in 7 and 8 exist and are equal, then the limit in 9 exists and is equal to those limits.

-Dan

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"I must not fear. Fear is the mind killer. Fear is the little death that brings total obliteration. I will face my fear. I will permit it to pass over me and through me. And when it has gone I will turn the inner eye to see its path. Where the fear has gone there will be nothing. Only I will remain." - The Litany Against Fear, "Dune" by Frank Herbert