| Posted on Thursday, 04 December, 2003 - 05:09 pm: |
Hello, can you help me? I have the following equation and I have to find what is the Lim when t®¥ V(Zt)=((ls)2)/n×(1-(1-l))2t/ (1-(1-l))2
| Posted on Thursday, 04 December, 2003 - 06:32 pm: |
Is l fixed (independent of time)? If so, how big is it? It might help you to observe that 1-(1-l)=l. David
| Posted on Thursday, 04 December, 2003 - 07:02 pm: |
I made some mistakes in the equation:
the first l (ls) is also lambda and also the power 2t and 2 are only for (1-lambda), and not for (1-(1-lambda).I put the brackets incorrectly.
sorry about that.
lambda takes values between (0,1].
| Posted on Thursday, 04 December, 2003 - 11:20 pm: |
So is your function
David
| Posted on Friday, 05 December, 2003 - 12:20 pm: |
the top part is (ls)2(1-(1-l)2t) the other part is: n(1-(1-l)2)
| Posted on Friday, 05 December, 2003 - 02:22 pm: |
Ah. I see. Well, you can safely ignore anything that doesn't depend on t. Now
, so 
.Hence your expression as a whole tends to
David
| Posted on Friday, 05 December, 2003 - 05:16 pm: |
Thanks for the reply. It just clicked when you pointed that out!