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Unformatted text preview: tch its graph.
(a) f (1) = 2 and f (2) = 1.
(b) f has a removable discontinuity at 4.
(c) f has a nonremovable discontinuity at 4.
f (4 + h) − f (4)
h→0
h (d) f is continuous at 4 but f (4) does not exist because the two sidelimits in lim
exists but are diﬀerent.
(e) f is continuous at 4 and the graph of f has a vertical tangent line at 4. 7. In each of the following questions, we list two properties of a pair of function f and g . For
each question, gives us one pair of functions that satisﬁes both properties:
(a) lim f (x) does not exist and lim f...
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 Fall '08
 UPPAL
 Calculus, Sets

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