242hw1 - G = ± 1 2 x ² x 8 Use Maple to get decimal...

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Math 242 Homework 1 Sections 012 and 014: Due Wednesday Feb 16th Section 050: Due Thursday Feb 17th 1. Evaluate lim x →∞ ln(ln x ) x . 2. Evaluate lim x →∞ (ln x ) 2 x . 3. Evaluate lim x 0 sin x - x x 3 . 4. Evaluate lim x 0 + x x 2 . 5. Find the area bounded by the curves y = 2 x + 1 and y = 9 - x 2 . 6. Find the area bounded by the curves y = x 2 and y = 4 x - x 2 . 7. Find the area bounded by the curves x = 2 y 2 and x = 4 + y 2 . Let F = x 2 + 3 x - x and let
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Unformatted text preview: G = ± 1 + 2 x ² x . 8. Use Maple to get decimal values of F and G for x = 99, x = 999, x = 9999, and x = 99999. 9. Use your answer from 8 to make a good guess for lim x →∞ ( √ x 2 + 3 x-x ). 10. Can you make a good guess for lim x →∞ ± 1+ 2 x ² x ? That may be less obvious. 1...
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