Find Two Paths of Approach from Which One Can Conclude

question 212

Essay

Find two paths of approach from which one can conclude that the function has no limit as (x, y) approaches (0, 0).
- $\text { Show that } f ( x , y , z ) = x ^ { 2 } y ^ { 5 } z ^ { 5 } \text { is continuous at every point } \left( x _ { 0 } , y _ { 0 } , z _ { 0 } \right) \text {. }$

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Definitions:

Cues/Codes

Signals or symbols used to convey messages or meanings, often in communication or behavior.

Achieve Timelessness

The act or process of creating something that remains relevant and valued over a long period, transcending trends and generations.

Cues/Codes

Signals or symbols used in communication to convey messages or meanings effectively.

Cognitive-behavioral

A therapeutic approach focusing on modifying dysfunctional emotions, behaviors, and thoughts through a goal-oriented, systematic process.