#### 462chevelle

Gold Member

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**1. The problem statement, all variables and given/known data**

Lim (cos^2(t))/(t^2+1)

t->∞

**2. Relevant equations**

squeeze theorem -1<=Cosx<=1

**3. 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 im doing wrong?