Determine the Third Taylor Polynomial of F(x) = $\frac { 1 } { \sqrt { 1 - x } }$

question 95

Short Answer

Determine the third Taylor polynomial of f(x) = $\frac { 1 } { \sqrt { 1 - x } }$ at x = 0.
Enter your answer as an unlabeled polynomial in x in standard form (i.e., highest powers first).

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Definitions:

Spiracles

External respiratory openings found in some animals, such as insects and some amphibians, that allow air to enter and exit the trachea.

Tracheae

Tubes in the respiratory system that conduct air to and from the lungs.

Book Lungs

Respiratory organs found in certain arachnids, such as spiders and scorpions, consisting of stacked leaf-like structures used for gas exchange.

Malpighian Tubules

Excretory structures in insects and some arthropods that remove metabolic wastes from the body into the digestive tract for excretion.