6. lim f(x) = +o00, lim f(x) = 0 5. lim f(x) = +oo, lim f(x) = 0 and f(-1) = 0 %3D and f(-1) = -1 7. There is a removable discontinuity at x = 1 and f(1) = 4 8. There is a jump discontinuity at x = 2 and f(2) = 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For each given combination of values lim x ->c f(x) and f(c), sketch the graph of a possible function that illustrates the combination. Answer 8 only! 

5. lim f(x) = +oo, lim f(x) = 0
6. lim f(x) = +o, lim f(x) = 0
%3D
*+1-
*+1+
*+1-
and f(-1) = 0
and f(-1) = -1
7. There is a removable discontinuity
at x = 1 and f(1) = 4
8. There is a jump discontinuity
at x = 2 and f(2) = 3
Transcribed Image Text:5. lim f(x) = +oo, lim f(x) = 0 6. lim f(x) = +o, lim f(x) = 0 %3D *+1- *+1+ *+1- and f(-1) = 0 and f(-1) = -1 7. There is a removable discontinuity at x = 1 and f(1) = 4 8. There is a jump discontinuity at x = 2 and f(2) = 3
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