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Math Help - Limit proof

  1. #1
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    Limit proof

    If (b sub n) is a bounded sequence and lim(a sub n) = 0 then prove

    lim(a sub n * b sub n) = 0. Any help would be appreciated.
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  2. #2
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    \left| {b_n } \right| \leqslant B\quad  \mbox{use} \quad \frac{\varepsilon }{{B + 1}} in the definition.
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  3. #3
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    Sorry, I dont understand, how does that get me to the final conclusion that lim( a sub n *b sub n) = 0?
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  4. #4
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    Quote Originally Posted by hayter221 View Post
    Sorry, I dont understand, how does that get me to the final conclusion that lim( a sub n *b sub n) = 0?
    Do you know how to use the definitions?
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  5. #5
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    I might, I just dont know what definitions you are speaking of.
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  6. #6
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    Quote Originally Posted by hayter221 View Post
    I might, I just dont know what definitions you are speaking of.
    What a strange response to a reasonable question.
    What game are you playing here?
    If you do not understand what definitions we are referring to, how can we help you?
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