MATH 111 Final: MATH 111 Amherst F12M111 2803 29RLBFinal

• School: Amherst College
• Department: Mathematics and Statistics
• Course: MATH 111
• Professor: All

Document Summary

Amherst college, math 11 final examination, december 22, 2010: this is a closed-book examination. No books, notes, calculators, cell phones, communication devices of any sort, or other aids are permitted: you need not simplify algebraically complicated answers. 3: [20 points] evaluate each of the following limits. Be clear if the limit equals a value, + or , or does not exist. (a) lim x 2 (c) lim x 5. 5 x x2 4 x2 + 4 (b) lim x 5 x2 + 4x 5 g(x2) 49. , where g(x) = 2x 1. (d) lim x 3: [30 points] compute each of the following derivatives. X + 4 3 x2 9. 6(cid:17), where f (x) = tan2 x + cos(2x). ln x. 1 + cos t dt: [25 points] compute each of the following integrals. 1 + e2x (a) z ln 3 (b) z 3.