Chapter 2.4, Problem 4E

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8th Edition

James Stewart

ISBN: 9781305270336

Textbook Problem

Use the given graph of *f(x)* =*x*^{2} to find a number *δ* such that

if |*x* –1|< *δ* then *|x*^{2}*–* 1 | <

To determine

**To find:** The number

Explanation

**Definition used:**

“Let *f* be a function defined on some open interval that contains the number *a*, except possibly at *a* itself. Then, the limit of *x* approaches *a* is *L*,

**Given:**

The graph of the function is

There exists a number

From the graph, it is observed that the values of

**Calculation:**

Obtain the value of

By the definition of

The leftmost question mark is denoted as

From the graph, at

Thus, the value of the leftmost question mark or the distance from

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P-38RECh-2 P-39RECh-2 P-40RECh-2 P-41RECh-2 P-42RECh-2 P-43RECh-2 P-44RECh-2 P-45RECh-2 P-46RECh-2 P-47RECh-2 P-48RECh-2 P-49RECh-2 P-50RECh-2 P-51RECh-2 P-52RECh-2 P-53RECh-2 P-54RECh-2 P-1PCh-2 P-2PCh-2 P-3PCh-2 P-4PCh-2 P-5PCh-2 P-6PCh-2 P-7PCh-2 P-8PCh-2 P-9PCh-2 P-10PCh-2 P-11PCh-2 P-12PCh-2 P-13PCh-2 P-14P

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