MATH 1225 Midterm: Fall 2019 Test 1

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I have neither given nor received aid on this exam. Multiple choice (1 pt each) no partial credit will be given: clearly circle your answer, no calculator, the graph of y = f (x) is given below. y = f (x) Statement 1 if 0 < |x 3| < 1, then |f (x) 1. 5| < 0. 5. Which of the following statements must be true? f (x) = if x 1 if 1 < x < 1. If lim x 5 x 5 (a) lim x 1 u(x) does not exist (b) lim x 5 u(x) = 1 (c) u(5) = 100 (d) lim x 5 u(x) 6= u(5) Give the limit if it exists, and where no nite limit exists be as precise as possible among + , , or dne. Cite theorems when appropriate. (a) (4 pts) lim x 3 (cid:18) 1. 3 x(cid:19) (b) (6 pts) lim x .