?Use a graph to find a number \(\delta\) such that\(\text { if }

Chapter 2, Problem 5

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QUESTION:

Use a graph to find a number \(\delta\) such that

\(\text { if }|x-2|<\delta \text { then }\left|\sqrt{x^{2}+5}-3\right|<0.3\)

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QUESTION:

Use a graph to find a number \(\delta\) such that

\(\text { if }|x-2|<\delta \text { then }\left|\sqrt{x^{2}+5}-3\right|<0.3\)

ANSWER:

Step 1 of 3

Plot the graph of the curve \(\sqrt{x^{2}+5}\) to find the number \(\partial\) such that if \(|x-2|<\partial\) then \(\left|\sqrt{x^{2}+5}-3\right|<0.3\).

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