MATH 121 Midterm: MATH 121 Midterm Review

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Review problems for the midterm examination covers [1. 1, 4. 1] in stewart: (a) use the de nition of the derivative to nd f0(3) when f (x) = (b) find an equation of the tangent line at (3, 1 2x: consider the function f (x) = 5x5 + 4x4 + 3x3 + 2x2 + x + 1. Find an integer n such that f (n) < 0 and f (n + 1) > 0. 2 x2 5x + 6 x2 4 (a) lim x 2 (b) lim x 4 x + 5 x. 1 (c) lim x 0 x y12!1!2!3!4123!13f(x)x x (x 1)2 x2 x 2 (x 2)2 (d) lim x 1 (g) lim x 2 (j) lim (e) lim x . X2 3x + 1 (1 + t)100 1 t. 1 cos x sin x (f) lim t 0 (i) lim x 0 cos h 1 h x 3 [[x]] x (hint: sketch the graph. ) p[[x2]]

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