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:

Situational Approach

A leadership model that suggests the most effective approach to leadership depends on the specific circumstances or context.

Trait Approach

A theoretical framework in psychology that attributes patterns of behavior and personality to stable characteristics or traits within an individual.

Fluid

Characterized by the ability to flow and adapt smoothly in various situations; often used to describe flexible thinking or variable structures.

Positive About Job

Having a positive outlook or attitude towards one's job, usually reflecting satisfaction, motivation, and engagement at work.