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

question 41

Multiple Choice

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

• A)f approaches 2 and g approaches +∞.
• B)f approaches 0 and g approaches +∞.
• C)f approaches +∞ 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:

Pericardium

The double-layered sac containing the heart and the roots of the great vessels, providing protection and support to the heart.

Thyroid Cartilage

A large cartilage that forms the anterior wall of the larynx and provides support and protection; commonly known as the Adam's apple.

Cricoid Cartilage

The ring-shaped cartilage of the larynx, located below the thyroid cartilage, serving as a point of attachment for muscles, ligaments, and membranes involved in opening and closing the airway and in speech production.

Epiglottis

A piece of cartilage at the tongue's base that moves down when swallowing to block the windpipe's entrance.