(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Compute the limits. If they don't exist, then explain.

1) lim as x approaches 0 [cos(x) - 1] / [sin^2(x) + x^3]

2) lim as x approaches 0 √(x^2 + x^3) / (x + 2x^2)

2. Relevant equations

3. The attempt at a solution

1) I replaced the sin^2x in the denominator with 1 - cos^2x and tried to work from there, but I couldn't get anything to cancel.

2) I couldn't figure out anything on this one either. I factored out an x in the denominator, but again, that didn't lead anywhere.

We are doing a semester review for the final, and I am starting to get a little nervous, because I don't remember struggling with limit computations when we learned them. Any help that can get me going the right direction would be greatly appreciated. Thank you.

Edit: This course was taught integrals first, then derivatives. We have not learned L'hospitals rule yet.

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# Homework Help: A couple of limit computations

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