Hi... I am trying to understand liminf and limsup of sequences.
If I have the sequence
what is my liminf and my limsup?
The limit itself does not exist, so the two should necessarily be unequal, right?
I know that
but how do I determine the sup, if it exists?
Also, for the sequence
am I correct that neither the limit nor the limsup exist but that ?
And finally, for the sequence
because the , that means that , right?