R408DF11ReviewProbs - 7. Z 4- 4 x cos 2 ( x 2 ) dx 8. Z 1...

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M408D Fall 2011 Review Problems from M408C Evaluate the limits below. 1. lim x 3 x + 6 - x x 3 - 3 x 2 2. lim x 0 x 2 cos ± 1 x 2 ² 3. lim x →∞ 2 x - 2 - x 2 x + 2 - x 4. lim x →-∞ 4 x 2 + 1 3 x + 5 5. lim x →∞ x - x 2 + 2 x 6. lim x →∞ [ln( e 3 + e - x 2 ) + arctan(ln x )] Evaluate the integrals below.
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Unformatted text preview: 7. Z 4- 4 x cos 2 ( x 2 ) dx 8. Z 1 ln( x 2 + 1) dx 9. Z 1 1 1 + e x dx 10. Z x 3 x 2 + 1 dx 11. Z x-1 x 2 + 3 x + 2 dx 12. Z x x + 1 dx...
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