how to find the bounds of this siquence: (n^2+2)^0.5-(n)^0.5

[transgalactic]

(n^2+2)^0.5 - (n)^0.5

i thought of doing a limit where n->infinity but here i get undefined form and even if i whould get some finite limite it will only be one bound and i cant do limit n->-infinity because its a sequence must be positive??

 

[royhaas]

Re: how to find the bounds of this siquence..

The lower bound happens at \(\displaystyle n=0\), but there is no upper bound. Did you write the sequence correctly?

 

[transgalactic]

Re: how to find the bounds of this siquence..

i wrote it correctly

how did you find that the lower bound happens at n=0

is it legal?
in a sequence "n" must have only whole positive numbers