## cali2 one year ago Limits! Evaluate using the squeeze theorem. lim x^2 cos 1/x x->0 Help!! I have a lot of these to do so details would be uber helpful

1. TuringTest

$$\cos\theta$$ is always between -1 and 1, regardless of what $$\theta$$ is. This means that$x^2\le |x^2\cos\theta|$

2. TuringTest

sorry, I meant that$|x^2\cos\theta|\le x^2$

3. TuringTest

therefore we can write$-x^2\le x^2\cos(\frac1x)\le x^2$

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