Posted by Reen on Saturday, November 7, 2009 at 10:26pm.
lim as x> infinity sec^2(1/x)

limits  Reiny, Saturday, November 7, 2009 at 10:35pm
As x > ∞ , 1/x > 0
So
lim sec^2(1/x) as x> infinity
= lim sec^2(x) as x> 0
= lim (1/cos^2(x) as x >0
= 1/1
= 1