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Please I need help on how to prove by definition of a limit. I have been trying since last night but with no luck.

Prove by definition that $$\lim_{k\to\infty}\frac{\sqrt k}{k+7} = 0$$

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    Well, what have you been trying?2012-10-20
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    @BabakSorouh I TeXed it, so maybe the TeXation wasn't faithful.2012-10-20
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    @Peter: Since she was careful to use brackets in the denominator, I think that maureen probably meant to have the square root in the numerator; however, I hope that she lets us know for sure. (No TeXation without representation?)2012-10-20
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    @BrianM.Scott: And wasn't the brackets used for $floor(...)$?2012-10-20
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    @BrianM.Scott Let's just wait and see. I hope the TeX headquarters are not in Boston.2012-10-20
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    Here is a [related problem](http://math.stackexchange.com/questions/213298/prove-that-the-sequence-n2-3n2-1-converges-to-the-limit-0/213321#213321).2012-12-26

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