MATH 110 Midterm: Math 110 Exam 1 V2
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September 16, 2011: (30 points) the function f below is piecewise-wise de ned as: 5, x > 3 f (x) by evaluating its left and right limits. f (x) = x3: find lim x 3, explain brie y whether f is continuous at the point 3, (30 points) 2x2 + 2y2: find the center and radius of the circle given by. 7: (30 points, using the limit de nition, nd the derivative of f (x) = 4 x: use the sum, di erence and constant multiple rule to nd the derivative of (i) (ii) f (x) = 3 x2 + 2 x2 f (x) = 7 2x + 2 x4: (30 points) evaluate the following limits analytically, lim x 1, lim x 3 x2 + x 2. 2x 6: (bonus) lim x 2 x5.
