?Verify, by a geometric argument, that the largest possible choice of \(\delta\) for

Chapter 2, Problem 34

(choose chapter or problem)

Verify, by a geometric argument, that the largest possible choice of \(\delta\) for showing that \(l i m_{x \rightarrow 3} \quad x^{2}=9\) is \(\delta=\sqrt{9+\epsilon}-3\).

Equation Transcription:

 x2 = 9

 =  - 3

Text Transcription:

delta

lim x right arrow 3 x^2 = 9

delta = sqrt 9 + epsilon - 3

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