Describe the Behavior of the Function Below as X Approaches $$f ( x ) = x \sin x$$

question 33

Multiple Choice

Describe the behavior of the function below as x approaches zero.​ $$f ( x ) = x \sin x$$ ​

• A)f → 0 as x → 0.
• B)f → -1 as x → 0.
• C)f → 1 as x → 0.
• D)f → -∞ as x → 0.
• E)f → +∞ as x → 0.

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Definitions:

Apple Juice

A fruit drink made by pressing apples and extracting the fluid, commonly consumed as a beverage.

Transitivity

A principle that if one option is preferred over a second, and the second is preferred over a third, then the first option is preferred over the third.

Consumer Preferences

The subjective tastes, as expressed by the utility function, that guide consumer choices in the marketplace.

Nonsatiation

The economic assumption that consumers always prefer more of a good to less, holding everything else constant.