Provide an Appropriate Response $\lim _ { x \rightarrow e } f ( x ) = L$

question 179

Multiple Choice

Provide an appropriate response.
-The definition of the limit, $\lim _ { x \rightarrow e } f ( x ) = L$ , means if given any number $\varepsilon > 0$ , there exists a number $\delta > 0$ , such that for all $x , 0 < | x - c | < \delta$ implies_____

• A) \(| f ( x ) - L | > \varepsilon\)
• B) \(| f ( x ) - L | < \delta\)
• C) \(| \mathrm { f } ( \mathrm { x } ) - \mathrm { L } | < \varepsilon\)
• D) \(| f ( x ) - L | > \delta\)

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Definitions:

Hypothesis Role

The function or purpose a hypothesis serves in an empirical study, typically as a presumptive statement to be tested.

Hypothesis

A proposed explanation for a phenomenon, made as a starting point for further investigation.

Good Hypothesis

A proposed explanation for a phenomenon that is specific, testable, and based on existing knowledge.

Null Hypothesis

A rephrased definition: The presumption that no significant relationship exists in the population and that any observed effect is due to sampling variability.