July 23rd, 2011, 11:20 AM  #1 
Newbie Joined: Jul 2011 Posts: 4 Thanks: 0  Problem in limits of summations
I have this expression: . I am going to set and , so I have to change summations' limits I know that the first summation will be: because and . and that n should not appear. But that i can't understand is what happens to limits of the other summations and and why. I know that i have to use these inequalities: . Any idea? 
July 23rd, 2011, 04:23 PM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,923 Thanks: 1123 Math Focus: Elementary mathematics and beyond  Re: Problem in limits of summations
There is a problem with . If you swap with you end up with , which isn't going to work. 
July 23rd, 2011, 04:43 PM  #3 
Newbie Joined: Jul 2011 Posts: 4 Thanks: 0  Re: Problem in limits of summations
I am not going to swap with . My final goal is the expression with summations to end up like that: and so what about the limits? Thank you for your reply and I am grateful to help me! 
July 23rd, 2011, 04:47 PM  #4 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,923 Thanks: 1123 Math Focus: Elementary mathematics and beyond  Re: Problem in limits of summations
You've got the assignment Then you state that you are going to use What happens to ? 
July 23rd, 2011, 04:57 PM  #5 
Newbie Joined: Jul 2011 Posts: 4 Thanks: 0  Re: Problem in limits of summations
As I explained because of: takes numbers from 1 until and then will take numbers from 1 until . 

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