Ws 1.1 Limits And Continuity Worksheet With Answers - Pennsylvania State University Page 3
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7Calculus Maximus
WS 1.1: Limits & Continuity
9. For the function f whose graph is given at below, evaluate the following, if it exists. If it does not exist,
explain why.
( )
( )
( )
=
=
=
(a)
lim
f x
(b)
lim
f x
(c)
lim
f x
→
→
→−
x
3
x
7
x
4
( )
( )
( )
=
=
=
(d)
lim
f x
(e)
lim
f x
(f)
lim
f x
−
+
→−
x
9
→−
→−
x
9
x
9
(g) What are the equations of the vertical asymptotes?
10. A patient receives a 150-mg injection of a drug every
( )
four hours. The graph at right shows the amount
C t
of the drug in the bloodstream after t hours.
( )
( )
Approximate
lim
C t
and
lim
C t
, then explain
−
+
→
→
t
12
t
12
in a complete sentence the significance/meaning of
these one-sided limits in terms of the injections at
t =
12
hours.
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