MA 123 , Previous Exam 1 Answers
- 1) -1/(x-1)^2
- 2) a) i because the limits from the left and the right are both equal
to 1 which is f(0)
- 2 b) The graph is the straight line y = 1 for x < 0 and the
straight line y = 1 for x > 0 . There is a hole at the end of both lines at
x = 0 since f'(0) is undefined.
- 3) a) 2 b) 2/pi c) - 5
- 4) a) 1 b) 1 c) -3 d) 1
e) f(x) is not continuous at 2. f(x) is continuous on the intervals
(-infinity, 2] and (2, infinity).
- 5) a) sqrt(2)/2 b) 1/2 .
- 6) a) - infinity b) 1/3 .
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