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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$\displaystyle \left| {b_n } \right| \leqslant B\quad \mbox{use} \quad \frac{\varepsilon }{{B + 1}}$ in the definition.
Sorry, I dont understand, how does that get me to the final conclusion that lim( a sub n *b sub n) = 0?
Originally Posted by hayter221 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?
I might, I just dont know what definitions you are speaking of.
Originally Posted by hayter221 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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