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Math Help - limit....

  1. #1
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    limit....

    I'm new here and hope you'll help me

    http://img91.imageshack.us/img91/6122/p1040009bl7.jpg
    i have big problems and don't know what to do with 6.8: d,h,i,k,l.
    Please help
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  2. #2
    Super Member Showcase_22's Avatar
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    For d). try multiplying the top and bottom by \sqrt{n^2+1}+n. I haven't done the maths myself yet, but that square root at the bottom is a pain! Try the same method with h.

    For i), try diving both the top and bottom by 5^{n+2}.

    For k, this seems like a sandwich rule question. I'm a little puzzled on it myself =S

    For l, i'm not really sure. Since this is an alternating sequence and n is approaching infinity then the series can approach any limit in \mathbb{R}.
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  3. #3
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    Try multiplying by the conjugate (the conjugate of root 6 - 2 is root 6 + 2). This will help you find something to cancel out.

    If you still need help/nobody else has helped you by tomorrow, I will explain each of the problems then when I have time!
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  4. #4
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    Thank you very much...
    i'm finishing it...
    very hard work:/
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