Provide an Appropriate Response $- x \leq x \cos \left( \frac { 1 } { x } \right) \leq x$

question 132

Multiple Choice

Provide an appropriate response.
-It can be shown that the inequalities $- x \leq x \cos \left( \frac { 1 } { x } \right) \leq x$ hold for all values of $x \geq 0$ . Find $\lim _ { x \rightarrow 0 } x \cos \left( \frac { 1 } { x } \right)$ if it exists.

• A) 1
• B) 0
• C) \(0.0007\)
• D) does not exist

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Definitions:

Preparatory Reaction

A phase in cellular respiration where pyruvate is converted into acetyl-CoA before entering the citric acid cycle.

Coenzyme A

A cofactor that plays a critical role in the synthesis and oxidation of fatty acids, as well as in the metabolism of carbohydrates and proteins.

Electron Transport Chain

A series of complexes that transfer electrons through a membrane within mitochondria to form a gradient used to produce ATP.

Citric Acid Cycle

A key metabolic pathway that integrates the energy production from carbohydrates, fats, and proteins in aerobic organisms.