MATH 1000 Midterm: MATH 1000 Midterm 1
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MATH 1000 Full Course Notes
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Review questions for midterm 1: a) complete the sentence: f (x) is continuous at x = a if , consider the function f (x) = 4 x2 if x < 1 x if x 1. What about f : consider the function f (x) = 4 x2 if x < 1 x + a if x 1 uous for all x. Is f continuous: find these limits, or state why they don"t exist: Find the value of a for which f (x) is contin- a) lim x 3 d) lim x 0. 5x2 + sin (x) d) lim x c) lim x 0 sin (2x) X 3x2: let f (x) = |x 2| . Sketch f (x) and f (x) . What about f : a) complete: the graph of y = 7 x horizontal asymptote y = . because (x 1)2 has a vertical asymptote at x = because