Let f(x) = (sin 2x)/x and use a graphing utility to conjecturethe value of L = limx0

Chapter 1, Problem 8

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Let \(f(x)=(\sin 2 x) / x\) and use a graphing utility to conjecture the value of \(L=\lim _{x \rightarrow 0} f(x)\). Then let \(\epsilon=0.1\) and use the graphing utility and its trace feature to find a positive number \(\delta\) such that \(|f(x)-L|<\epsilon\) if \(0<|x|<\delta\).

Equation Transcription:

Text Transcription:

f(x)=(sin 2x)/x

L = lim_x righarrow 0 f(x)

epsilon = 0.1

delta

|f(x) - L| < epsilon

0 < |x| < delta

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