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Find Two Paths of Approach from Which One Can Conclude f(x,y)=x3+y6x3f ( x , y ) = \frac { x ^ { 3 } + y ^ { 6 } } { x ^ { 3 } }

question 112

Essay

Find two paths of approach from which one can conclude that the function has no limit as (x, y) approaches (0, 0).
- f(x,y)=x3+y6x3f ( x , y ) = \frac { x ^ { 3 } + y ^ { 6 } } { x ^ { 3 } }

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Definitions:

Ventromedial Nucleus

A nucleus within the hypothalamus of the brain that regulates metabolism, including hunger and satiety signals.

Lateral Hypothalamus

An area at the side of the hypothalamus that appears to function as a start-eating center.

Social Approval

The act of seeking or gaining acceptance, validation, or positive recognition from others within a social context.

Hypothalamus

A small but crucial part of the brain involved in many functions, including hormone release, regulation of body temperature, and hunger control.

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