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Unformatted text preview: R 2 LIMITS AND DERIVATIVES x 2 � 2x
,
xl �1 x � x � 2
x � 0, �0.5, �0.9, �0.95, �0.99, �0.999,
�2, �1.5, �1.1, �1.01, �1.001 stream after t hours. Find
lim f �t� 18. lim lim f �t� and t l 12� t l 12� and explain the signiﬁcance of these onesided limits.
19. lim xl0 f(t) 2 ex � 1 � x
,
x2 20. lim x ln� x � x 2 �,
�
xl0 300 x � �1, �0.5, �0.1, �0.05, �0.01
x � 1, 0.5, 0.1, 0.05, 0.01, 0.005, 0.001 21–24 Use a table of values to estimate the value of the limit. If you have a graphing device, use it to conﬁrm your result
graphically. 150 4 8 12 16 21. lim t sx � 4 � 2
x 22. lim tan 3 x
tan 5x 23. lim 0 x6 � 1
x10 � 1 24. lim 9x � 5x
x xl0 xl1 1�x
; 11. Use the graph of the function f � x� � 1��1 � e � to state the value of each limit, if it exists. If it does not exist, explain
why.
(a) lim f � x�
�
xl0 (b) lim f � x�
� xl0 25–32 Determine the inﬁnite limit. (c) lim f � x� xl0 xl0 xl...
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This note was uploaded on 02/04/2014 for the course MATH 160 taught by Professor Staff during the Spring '08 term at Boise State.
 Spring '08
 STAFF
 Calculus

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