MAT-1110 Midterm: MATH 1110 App State summer2017 Test1 answer key
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Be sure to show your work: (14 points) limits. If a limit is positive in nity, write + and if negative in nity, write . If a limit does not exist, write dne . (a) consider the function f (x) whose graph is y. 5 x f ( 1) = lim x 1 f (x) = Does not exist lim x 3 f (x) = 1 lim x 4+ f (x) = f ( 1) is just the function"s value at x = 1. The dot indicates this value is y = 5. On the other hand, the limit as we approach 1 is 1 since the graph is approaching y = 1 from both sides. Notice that since the function"s value and limit at x = 1 disagree, the function is not continuous at x = 1. Next, the limit as x 1 (from the left) is 5 but the limit x 1+ (from the right) is 1.
