Find Two Paths of Approach from Which One Can Conclude $$f ( x , y ) = \frac { | x y | } { x y }$$

question 294

Essay

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

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Definitions:

Polyunsaturated

A type of fat found in plants and fish that contains more than one unsaturated carbon bond in its molecules, known to be beneficial for heart health.

Kilocalorie Intake

The total amount of energy consumed in the form of food or drinks, measured in kilocalories (also known as Calories), crucial for maintaining body functions and energy levels.

Energy Requirements

The amount of energy, measured in calories, that an individual needs to maintain their body weight and support daily activities.

Weight Increases

A condition or period where there is a gain in body weight, which can be due to a variety of factors including diet, health conditions, and lifestyle.