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This exam has 4 questions, for a total of 16 points. Please print your working and answers neatly. Write your solutions in the space provided ...
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Instructor: Jens Eberhardt Date: 08 October 2017
Name:
ID number:
Discussion section (please circle):
Day/TA Allen Boozer Ben Szczesny Fan Yang Tuesday 1A 1C 1E Thursday 1B 1D 1F
Question Points Score
1 4 2 4 3 4
4 4 Total: 16
f (x) =
x^2 + x + 1 if x ≤ 3 √ 6 x + 7 if x > 3.
(a) (2 points) Using the limit laws, determine the left-hand and right-hand limit of f (x) at x = 3. (b) (1 point) Does the limit of f (x) at x = 3 exist? (c) (1 point) Is f (x) continuous at x = 3? If not, which type of discontinuity does it have?
(a) (2 points) d
2 dx^2 (3x
(^3) + 4x (^2) + 2x − 1)
(b) (2 points) (^) dxdx
(^2) + 2 x
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