Evaluate $\lim _ { ( x , y ) \rightarrow ( 0,0 ) } \frac { x ^ { 2 } y } { x ^ { 2 } + y ^ { 2 } }$

question 212

Multiple Choice

Evaluate $\lim _ { ( x , y ) \rightarrow ( 0,0 ) } \frac { x ^ { 2 } y } { x ^ { 2 } + y ^ { 2 } }$

• A)1
• B)0
• C) \(\frac { 1 } { 2 }\)
• D) \(\infty\)
• E)2
• F)4
• G)8
• H)Does not exist

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Definitions:

Basal Ganglia

A group of structures linked to the thalamus in the base of the brain and involved in coordination of movement.

Temporal Lobe

is a region of the brain located beneath the lateral fissure on both cerebral hemispheres, involved in processing auditory information and encoding memory.

Amygdala

A part of the brain located within the temporal lobe, involved in emotion processing, fear responses, and memory.

Basal Ganglia

A group of structures located deep within the cerebral hemispheres involved in controlling movement and coordination.