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Math Help - how to start this limit problem....

  1. #1
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    how to start this limit problem....

    I'm not sure how to start this off...

    \lim_{n\to\infty} \sqrt{n+1} - \sqrt{n}

    I can think of a logical way to say this does not converge to zero.. which is what i need, but how do I do this algebraically?

    Thanks
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  2. #2
    MHF Contributor kalagota's Avatar
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    Taguig City, Philippines
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    Quote Originally Posted by unreal89 View Post
    I'm not sure how to start this off...

    \lim_{n\to\infty} \sqrt{n+1} - \sqrt{n}

    I can think of a logical way to say this does not converge to zero.. which is what i need, but how do I do this algebraically?

    Thanks
    multiply: \frac{\sqrt{n+1} + \sqrt{n}}{\sqrt{n+1} + \sqrt{n}}..

    wait.. it doesn't converge to zero? omg
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  3. #3
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    wow.. cool, thanks
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