MATH 121 Midterm: MATH 121 Amherst F14M121 280104 29Call

• School: Amherst College
• Department: Mathematics and Statistics
• Course: MATH 121
• Professor: All

Document Summary

December 19, 2014: 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. However, numerical answers such as sin(cid:16) arctan( 3), or cosh(ln 3) should be simpli ed. 2 , eln 4, ln(e7), e ln 5, e3 ln 3: please show all of your work and justify all of your answers. (you may use the backs of pages for additional work space. ) 200: [15 points] evaluate each of the following limits. Be clear if the limit equals a value, + or , or does not exist. (a) lim x 0 sinh(3x) 3x ln(1 + x) x (b) lim x 0 x cot x (c) lim x (ex + x) 1: [18 points] evaluate each of the following integrals. (a) z x sin 1(x) dx (b) z 4 3. 2: (continued) evaluate the following integral. (c) z e.