Use the Squeezing Theorem to show thatlimx0x cos 50x = 0and illustrate the principle
Chapter 1, Problem 61(choose chapter or problem)
Use the Squeezing Theorem to show that
\(\lim \limits_{x \rightarrow 0} x \cos \frac{50 \pi}{x}=0\)
and illustrate the principle involved by using a graphing utility to graph the equations \(y=|x|\), \(y=-|x|\), and \(y=x \cos (50 \pi / x)\) on the same screen in the window [−1, 1] × [−1, 1].
Equation Transcription:
x cos = 0
y = | x |
y = - | x |
y = x cos (50/x)
Text Transcription:
lim_x right arrow 0 x cos 50pi/x = 0
y = |0|
y = - |x|
y = x cos (50pi/x)
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