Provide an Appropriate Response

question 361

Essay

Provide an appropriate response.
- $$\text { Does the graph of } f ( x ) = \left\{ \begin{array} { l l } x \cos \frac { 1 } { x } , & x \neq 0 \\0 , & x = 0\end{array} \right. \text { have a tangent at the origin? Give reasons for your answer. }$$

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Definitions:

Federal Common Law

Federal common law refers to laws developed by Federal courts in the absence of detailed statutory guidance, often based on precedent or principles derived from the U.S. Constitution.

Vicariously Liable

The legal principle where one party is held liable for the actions of another party, such as an employer for the acts of its employees.

Mental Fault

A legal concept referring to the intentional or reckless state of mind of a defendant necessary for certain offenses or torts.

Hot Pursuit

A legal principle that allows law enforcement officers to cross jurisdictional lines in pursuit of a fleeing suspect.