Find $\lim _ { ( x , y ) \rightarrow ( 1,1 ) } \frac { x - y ^ { 4 } } { x ^ { 3 } - y ^ { 4 } }$

question 104

Essay

Find $\lim _ { ( x , y ) \rightarrow ( 1,1 ) } \frac { x - y ^ { 4 } } { x ^ { 3 } - y ^ { 4 } }$ if it exists, or show that the limit does not exist.

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Definitions:

Oxytocin

A hormone and neurotransmitter often associated with social bonding, childbirth, and lactation.

Cortisol

A hormone released by the adrenal glands in response to stress, which can increase blood sugar and suppress the immune system.

Adrenaline

A hormone and neurotransmitter also known as epinephrine, released by the adrenal glands, that increases heart rate, muscle strength, blood pressure, and sugar metabolism in response to stress.

Endorphins

Chemicals produced by the body to relieve stress and pain, acting similarly to painkillers.