MATH 220 Midterm: MATH 220 KSU Test 1f12

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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. The chart below indicates how many points each problem is worth. 2: evaluate the left hand limit. lim x 2 (cid:16) x 5 x2 4(cid:17, find the derivative of each function. Do not simplify. (a) y = x6ex (b) x = t3. Do not simplify. z = xex x2 + 1: let f (x) = x3 + 2x if x < 1. Determine whether y = f (x) is continuous at x = 1 by computing limits. 2x + 3 3 x 3 (cid:17: use the de nition of the derivative as a limit to nd f (2) for the function f (x) = 3x2 5x + 2.