Solved: Graph and on Prove that for x > 0

Chapter 5, Problem 92

(choose chapter or problem)

Graph \(y_{1}=\frac{x}{1+x^{2}}, y_{2}=\arctan x\), and \(y_{3}=x\) on [0, 10].

Prove that \(\frac{x}{1+x^{2}}<\arctan x<x\) for x > 0.

Text Transcription:

y_{1}=\frac{x}{1+x^{2}}, y_{2}=\arctan x

y_{3}=x

\frac{x}{1+x^{2}}<\arctan x<x

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