MATH 1225 Study Guide - Midterm Guide: Asymptote, Intermediate Value Theorem
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B math 1225 practice test 1 (30 pts) Find the largest value of > 0 such that if 0 < |x 4| < , then |f (x) 2| < 1. y = f (x) 1 (a) = 1 (b) = 2 (c) = 3 x. 6 (d) no such exists because f is not continuous: the graph of the function f is given below. What is lim x 1 (cid:2)(f (x))2 + 1(cid:3)? y = f (x) 1 (a) -1 (b) 3 (c) 5 x. 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) (3 pts) lim cos( ) + 1 (b) (6 pts) lim x 5 . |x2 + 8x + 15| x + 5. 3: (9 pts) a particle has the position function s(t) = t + 5.
