MATH 111 Final: MATH 111 Amherst S16M111Final

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

Document Summary

If you wish, you may also attempt the three optional bonus questions. Little or no credit may be awarded, even when your answer is correct, if you fail to follow instructions for a problem or fail to justify your answer. Unless otherwise noted, simplify your answers whenever possible. If you need more space, use the back of any page. 1a. lim x 5: (40 points) evaluate each of the following limits. Be clear about whether the limit equals a value, + or , or does not exist. |x 3| where f (x) = x + 2. 1c. lim x 4 lim x 2 x + 2. 1e. lim x 1 x2 2x 15 x2 + 2x 35 x2 + 16 x2 16 x2 7x + 6 (x 1)3 x2 + 3x3 4x4. 1h. lim x x2 2x 3. 6x + 7: (20 points, 4 parts) compute the following derivatives. 2a. f (x), where f (x) =s x +