Find the Limit $\lim _ { ( x , y , z ) \rightarrow ( 3,2,4 ) } \frac { x y + y z + x z } { x y z - 6 }$

question 19

Multiple Choice

Find the limit $\lim _ { ( x , y , z ) \rightarrow ( 3,2,4 ) } \frac { x y + y z + x z } { x y z - 6 }$

• A) \(\frac { 13 } { 9 }\)
• B) \(0\)
• C) \(- \frac { 1 } { 6 }\)
• D) \(\frac { 1 } { 6 }\)

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Definitions:

Oral Stage

A phase in Freudian psychosexual development where an infant's pleasure centers are in the mouth, leading to behaviors such as sucking and biting.

Executive Part

The component of the brain, particularly associated with the frontal lobes, responsible for decision-making, problem-solving, and regulating behavior.

Ego

Within the framework of psychoanalytic theory, it's the component of personality tasked with negotiating among the urges of the id, the dictates of the superego, and the constraints of reality.

Oedipus Complex

A Freudian concept describing a child's unconscious sexual desire for the opposite-sex parent and jealousy toward the same-sex parent.