# Math Help - Limit proof

1. ## 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.

2. $\left| {b_n } \right| \leqslant B\quad \mbox{use} \quad \frac{\varepsilon }{{B + 1}}$ in the definition.

3. Sorry, I dont understand, how does that get me to the final conclusion that lim( a sub n *b sub n) = 0?

4. 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?

5. I might, I just dont know what definitions you are speaking of.

6. 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?