Consider the Functions Given By $f ( x ) = 2 \sin x$

question 314

Multiple Choice

Consider the functions given by $f ( x ) = 2 \sin x$
and
$g ( x ) = \frac { 1 } { 2 } \csc x$ on the interval (0, $\pi$ ) .
Describe the behavior of each of the functions as x approaches $\pi$ .

• A)f approaches 2 and g approaches +\(\infty\).
• B)f approaches 0 and g approaches +\(\infty\).
• C)f approaches +\(\infty\) and g approaches 0.
• D)f approaches 0 and g approaches \(\frac { 1 } { 2 }\) .
• E)f approaches 2 and g approaches \(\frac { 1 } { 2 }\) .

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Definitions:

Berries

Small, pulpy, and often edible fruits, typically round, brightly colored, sweet or sour, and do not have a stone or pit, although many seeds may be present.

Nuts

Edible seeds of certain plants, enclosed in a hard shell, and often consumed as a nutrient-rich food.

Utility Function

Represents the satisfaction or welfare an individual obtains from consuming goods and services, indicating preferences over various bundles of goods.

Nuts

Specifically, types of fruit composed of a hard shell and a seed, which are generally rich in nutrients.