MATH-0034 Final: MATH34 exams Final-S13
Document Summary
You must evaluate standard trig values, but you do not need to simplify your answers otherwise. Except for multiple choice, you must show work to receive full credit. You must verify the hypotheses for any convergence test that you use. If you claim that an inequality holds, you must justify that claim except if you judge it to be obvious. For example, for n = 1, 2, 3, . , the inequality n < 3n + 2 is obvious, while 2(n + 10)! (2n)! is not. ln(x) = (1 x) (1 x)k k for 0 < x < 2. Xk=0 xk k! for all x (1 x)k k. Xk=0 x2k+1, x2k, for all x for all x. 2k + 1 x2k+1, for |x| 1. 1 x ex = 1 + x + x2. 3! (1 x)2 xk k! (1 x)3. 3 sin x = x cos x = 1 x3.
