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Math Help - Limits of Rational Functions as x approaches +/- infinity

  1. #1
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    Limits of Rational Functions as x approaches +/- infinity

    I have problems with the directions: Find the limit of each rational function as...
    a) x approaches infinity
    b) x approaches - infinity

    Can someone show me how I would do a problem such as

    f(x) = (2x + 3) / (5x +7)

    and

    h(x) = 7x^3 / (x^3 - 3x^2+6x)

    Thanks so much I have a bunch of these to do, so seeing/understanding these would really help!
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  2. #2
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    Do you only look at the first numbers like 2x and 5x because the other numbers are so small they are not significant. I know the answer is 0,0 for the first one and 7,7 for the second one.

    Is this because 7(infinity)^3 / 1(infinity)^3 is rougly going to be 7... and the other numbers don't even come into play? Or am I thinking about this completely wrong?
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