- #1
462chevelle
Gold Member
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- 9
Homework Statement
Lim (cos^2(t))/(t^2+1)
t->∞
Homework Equations
squeeze theorem -1<=Cosx<=1
The Attempt at a Solution
I have
-1<=Cos(t)<=1
(-1)^2<=Cos^2(t)<=(1)^2
(1)/(t^2+1)<=(Cos^2(t))/(t^2+1)<=(1)/(t^2+1)
I took both of limits of the 2 outsides as t->0
i got -1 and 1. so the limit should not exist. But i think this is incorrect. Any hints on what I am doing wrong?