MATH 350 Final: MATH 350 Amherst S16M350 2802 29BenedettoFinal

• School: Amherst College
• Department: Mathematics and Statistics
• Course: MATH 350
• Professor: All

Document Summary

Final exam may 13, 2015: 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. 2 , eln 4, e ln 5, ln(e7), 3: [15 points] evaluate each of the following limits. Be clear if the limit equals a value, + or , or does not exist. 3 (a) lim x 0 ln(1 x) + x cosh(4x) arctan(3x) e 3x (b) lim x (cid:18)e. 5 x3(cid:19)x: [30 points] evaluate each of the following integrals. x3 + x2 + 2x + 2 (a) z x4 + 3x3 + 6x2 + 6x + 5 (c) z x2 dx. 16 x2 dx = z x4 + 3x3 + 6x2 + 6x + 5 (x + 1)(x2 + 2) dx. 0 cos x (cid:2)1 + sin2 x(cid:3) dx. 16 x2 dx: [25 points] or diverges. For each of the following improper integrals, determine whether it converges.