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Find Two Paths of Approach from Which One Can Conclude f(x0,y0)=2f \left( x _ { 0 } , y _ { 0 } \right) = - 2

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Essay

Find two paths of approach from which one can conclude that the function has no limit as (x, y) approaches (0, 0).
-If f(x0,y0)=2f \left( x _ { 0 } , y _ { 0 } \right) = - 2 and the limit of f(x,y)f ( x , y ) exists as (x,y)( x , y ) approaches (x0,y0)\left( x _ { 0 } , y _ { 0 } \right) , what can you say about the continuity of f(x,y)\mathrm { f } ( \mathrm { x } , \mathrm { y } ) at the point (x0,y0)\left( \mathrm { x } _ { 0 } , \mathrm { y } _ { 0 } \right) ? Give reasons for your answer.

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Striations

A series of ridges, furrows, or linear marks, frequently found in muscle tissue and certain types of rocks.

Cardiac Muscle

A specialized type of muscle found only in the heart, responsible for pumping blood throughout the body.

Skeletal Muscle

A type of muscle tissue that is attached to bones and responsible for voluntary movements of the body.

Uninucleated

Having only one nucleus per cell, characteristic of most human cells except for certain muscle cells and some fungi.

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