How to find the lim inf and lim sup of the following

[transgalactic]

i got a formula for a sequence:
(n^(-1^n))

how to get the subsequences out of it??
how to get the group of limits to the subsequences from this formula

 

[mutton]

Write out the first few terms.

 

[HallsofIvy]

It's hard to believe you are even trying. Do as mutton said- write down, say, the first 5 or 6 terms of the sequence. That is easy and should make the answer obvious!