Find the Third Taylor Polynomial Associated With $f ( x ) = 2 + x ^ { 2 } - 5 x ^ { 3 } \text { at } a = 0$

question 228

Essay

Find the third Taylor polynomial associated with $f ( x ) = 2 + x ^ { 2 } - 5 x ^ { 3 } \text { at } a = 0$ . What is the remainder?

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Definitions:

National Parks

Protected areas designated for the conservation of natural environments, biodiversity, and cultural heritage, and for public enjoyment.

Inbreeding

The breeding of closely related individuals, often leading to an increase in genetic disorders and a decrease in biodiversity.

Special Concern

A status indicating that a species or environment needs careful attention or consideration due to potential threats to its well-being or survival.

Climate Change

A change in global or regional climate patterns, particularly a change apparent from the mid to late 20th century onwards, attributed largely to the increased levels of atmospheric carbon dioxide produced by the use of fossil fuels.