MATH 250 Final: MATH 250 Amherst S15M250Final

• School: Amherst College
• Department: Mathematics and Statistics
• Course: MATH 250
• Professor: All

Document Summary

Math 111 final examination may 4, 2012: 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 (x + 1)2 9 x2 + 4 (c) lim x 8. X + 1 3 (b) lim x 3 x2 8x + 15. , where g(x) = x2 + 7. (d) lim x 6 x2 4x 12. |6 x: [30 points] compute each of the following derivatives. Do not simplify your algebraically complicated answers. (a) f (cid:16) (c) g (x), where g(x) = e. 12(cid:17), where f (x) = sec2(2x) + sin(4x). 1 (e) g (x), where g(x) =z 2011 x (b) d dx (d) dy dx.