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Math Help - Applying the combination rules

  1. #1
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    Applying the combination rules

    I'm trying to determine whether the below sequence converges.

    Applying the combination rules-open-up-inside.gif

    I see the dominant term is n^5, so then I divide numerator and denominator by this.

    So the next stage is to apply the combination rules (in my text book).

    I seem to be stuck at the first one which is Applying the combination rules-math_image-11-.gif. I am not sure what to do with this one so help on this would be great.
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  2. #2
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    Re: Applying the combination rules

    Show that for all n sufficiently large the denominator grows faster than the numerator
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  3. #3
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    Re: Applying the combination rules

    Quote Originally Posted by Shakarri View Post
    Show that for all n sufficiently large the denominator grows faster than the numerator
    Sorry but I don't understand how to do that.
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  4. #4
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    Re: Applying the combination rules

    I think I may of got the initial part wrong and the dominant term should be 5^n. :s
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  5. #5
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    Re: Applying the combination rules

    Quote Originally Posted by jennybee View Post
    I think I may of got the initial part wrong and the dominant term should be 5^n. :s
    Yep!
    Thanks from jennybee
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