Find a Least Number $\delta$ Such That |F(x) - L| $\varepsilon$

question 109

Multiple Choice

Find a least number $\delta$ such that |f(x) - L| < $\varepsilon$ if 0 < |x - a| < $\delta$ . ; $\varepsilon$ = 0.187

• A) 1
• B) 0.187
• C) 0.017
• D) 0.014
• E) 0.021

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Definitions:

Calculator

A calculator is a device or software used for performing mathematical calculations, ranging from basic arithmetic to complex mathematical operations.

Principal Square Root

The non-negative square root of a number, denoted as √x for a non-negative number x.

Real Roots

Real roots are the values of the variable that satisfy an equation, where the solutions are real numbers.

Calculator

An electronic or mechanical device used to perform mathematical operations.