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Math Help - Show that the sequence is Divergence

  1. #1
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    Show that the sequence is Divergence

    My lecturer told me that the sequence is divergence using Limit Comparison Test.

    Anyone can kindly help me solve step by step.

    Thanks!
    Bruce
    Attached Thumbnails Attached Thumbnails Show that the sequence is Divergence-922826_10200438073373471_371556311_n.jpg  
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  2. #2
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    Re: Show that the sequence is Divergence

    Quote Originally Posted by weijing85 View Post
    My lecturer told me that the sequence is divergence using Limit Comparison Test.
    Anyone can kindly help me solve step by step.

    It can be written as \frac{3\cdot 2^k+5k\cdot 2^k+2^k\cdot\sqrt{k^3}}{k^2\cdot 2^k+k}
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  3. #3
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    Re: Show that the sequence is Divergence

    This is not a sequence. Are you trying to find the limit of the terms in the sum? Or are you trying to evaluate the sum itself?
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