Find the limit as x-->-inf
(x+2)^(3/2)+1
----------I know that the answer is infinity but I don't know how to get this answer by hand. Could someone please help me? Thanks a lot!
You can use the (open) sandwich rule.
Since (x+2)^(3/2)+1 > x for all x>1,
so as x->∞, (x+2)^(3/2)+1 -> ∞.