# Thread: quick help with liminf and limsup

1. ## quick help with liminf and limsup

This isn't a copy of my assignment, but I found the exact same question on the web:

http://www.math.auckland.ac.nz/~waldron/730/1.pdf

It's question 1 on the PDF. I've been trying all night to find inequalties that are strict like it asks for in that particular problem. I don't need help with proving the inequalities, just an example of two sequences (xn) and (yn) that satisfy them to make them strict simultaneously.

I would super appreciate any ideas on this.
MK

2. 1. Look at my other post about limsup's the idea it the same.

2. Look at the other thread and how it is proved that $\limsup (x_n+y_n) = \limsup (x_n) + L$.

3. Yeah I don't need that. I just need help with the end, where it says:

Find sequences for which all of these inequalities are simultaneously strict.

4. Any ideas? I'm completely stumped. I've tried so many different examples, but none work.