The accompanying graph represents a function f(x) that oscillates between 1 and -1 more and more fre- quently as x approaches 0 from either the right or the left. Does lim f(x) exist? If so, what is its value? x-0 [Note: For students with experience in trigonometry, behaves in this way.] the function f(x) = sin( X AV -1 -X ST mil ON

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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57. The accompanying graph represents a function f(x)
that oscillates between 1 and 1 more and more fre-
quently as x approaches 0 from either the right or the
left. Does lim f(x) exist? If so, what is its value?
x-0
[Note: For students with experience in trigonometry,
the function f(x) = sin
sin() behaves in this way.]
y
-
1
AIN
-1
PROBLEM 57
X
21 21 21
Sma
Transcribed Image Text:57. The accompanying graph represents a function f(x) that oscillates between 1 and 1 more and more fre- quently as x approaches 0 from either the right or the left. Does lim f(x) exist? If so, what is its value? x-0 [Note: For students with experience in trigonometry, the function f(x) = sin sin() behaves in this way.] y - 1 AIN -1 PROBLEM 57 X 21 21 21 Sma
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