Show all your work in the space provided under each question. Please write neatly and present your answers in an organized way. You may use your one sheet of notes, but no books or calculators. For each test of convergence that you use, either give the name of the test, or brie y describe what the test says. The chart below indicates how many points each problem is worth. /16: determine whether the series converges or diverges. Z x + 6 x2 4 dx: determine whether the series converges or diverges. Xn=1 n n4 + 4: find the taylor series at c = . You need to nd a formula for the general term. f (x) = cos(2x: a spring hangs vertically. A mass of 10 kilograms is attached, and the spring is stretched by one meter. Find the work required in pulling the spring down one additional meter.
