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Math Help - How to find this limit?

  1. #1
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    How to find this limit?

    (x + 1) / x^2 (x+7)

    As x approaches zero, without using l'hopitals rule or anything like that. I'm pretty sure that there is no way I can factor/cancel....what else could be done in this situation?
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  2. #2
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    (x + 1) / x^2 (x+7)
    But which is the problem?
    A) \frac{x+1}{x^2(x+7)} or B) \frac{x+1}{x^2}(x+7)?
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  3. #3
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    It is A
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  4. #4
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    Well then, the numerator is bounded around 1.
    But the denominator approaches zero through the positive numbers.
    What is the limit of 1 divided by ever smaller positive number?
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