At What Points Is the Given Function Continuous?
- $$f ( x , y , z ) = y z \cos \left( \frac { 1 } { x } \right)$$

question 92

Multiple Choice

At what points is the given function continuous?
- $$f ( x , y , z ) = y z \cos \left( \frac { 1 } { x } \right)$$

• A) All \(( x , y , z )\) such that \(0 \leq \frac { 1 } { x } \leq 2 \pi\)
• B) All \(( x , y , z )\) such that \(x \neq 0\)
• C) All \(( x , y , z )\)
• D) All \(( x , y , z )\) such that \(x \neq \frac { 2 } { \pi }\)

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Definitions:

Social Cognitive Theory

A theory that emphasizes the importance of observational learning, imitation, and modeling in the acquisition of new behaviors.

Learning Reinforcement

A process in operant conditioning where the likelihood of a behavior is increased or decreased through positive or negative reinforcement.

Conditioning Theory

A psychological theory that proposes learning occurs through associations between stimuli and responses, leading to conditioned behaviors.

Accidental Learning

The acquisition of knowledge or skills without the intention to learn, often occurring through incidental experiences.