Give an Appropriate Answer $\mathrm { f } ( \mathrm { x } , \mathrm { y } , \mathrm { z } )$

question 342

Essay

Give an appropriate answer.
-Given the function $\mathrm { f } ( \mathrm { x } , \mathrm { y } , \mathrm { z } )$ and the positive number $\varepsilon$ as in the formal definition of a limit, find a positive number $\delta$ as in the definition that insures $| f ( x , y , z ) - f ( 0,0,0 ) | < \varepsilon$ .
$f ( x , y , z ) = x + y + z ; \varepsilon = 0.12$

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Definitions:

Deception

The act of misleading or deceiving someone by presenting false information or concealing the truth.

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A legally binding agreement between two or more parties that is enforceable by law, outlining obligations that each party must fulfill.

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Undue Influence

An improper or unlawful exercise of power by one person over another to compel that person to act against his or her will, often seen in contractual or testamentary contexts.