Posted by Reen on Saturday, November 7, 2009 at 10:26pm.
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
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