Find the Third-Degree Taylor Polynomial of the Function $f ( x ) = e ^ { x ^ { 2 } } - x ^ { 2 } \cos \sqrt { x } \text { at } a = 0$

question 124

Essay

Find the third-degree Taylor polynomial of the function $f ( x ) = e ^ { x ^ { 2 } } - x ^ { 2 } \cos \sqrt { x } \text { at } a = 0$ .

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Definitions:

Central Hearing Impairment

A type of hearing loss where the problem lies in the central nervous system, affecting the processing of sound signals to the brain.

Conduction Hearing Impairment

A form of hearing loss where sound waves are unable to efficiently travel through the external ear canal to the eardrum and ossicles of the middle ear.

Nerve Hearing Impairment

A type of hearing loss resulting from damage to the auditory nerve, affecting the transmission of sound signals to the brain.

Auditory Pathways

The neural pathways that sound travels from the ear through the auditory cortex of the brain.