Graphically Approximate the Limit (If It Exists)by Using a Graphing $\lim _ { x \rightarrow 36 ^ { + } } \frac { 6 - \sqrt { x } } { x - 36 }$

question 60

Multiple Choice

Graphically approximate the limit (if it exists) by using a graphing utility to graph the function. $\lim _ { x \rightarrow 36 ^ { + } } \frac { 6 - \sqrt { x } } { x - 36 }$

• A) \(\lim _ { x \rightarrow 36 ^ { + } } \frac { 6 - \sqrt { x } } { x - 36 } = - \frac { 1 } { 13 }\)
• B) \(\lim _ { x \rightarrow 36 ^ { + } } \frac { 6 - \sqrt { x } } { x - 36 } = \frac { 1 } { 13 }\)
• C) \(\lim _ { x \rightarrow 36 ^ { + } } \frac { 6 - \sqrt { x } } { x - 36 } = \frac { 1 } { 12 }\)
• D) \(\lim _ { x \rightarrow 36 ^ { + } } \frac { 6 - \sqrt { x } } { x - 36 } = - \frac { 1 } { 12 }\)
• E) \(\lim _ { x \rightarrow 36 ^ { + } } \frac { 6 - \sqrt { x } } { x - 36 } = \frac { 1 } { 14 }\)

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Definitions:

Cumulative Preferred Stock

Preferred stock where dividends accumulate if not paid as scheduled, needing to be fulfilled before common stock dividends.

Common Stock

A type of security that represents ownership in a corporation, giving shareholders voting rights and a claim on profits in the form of dividends.

Dividend

A disbursement from a corporation to its stockholders, often derived from earnings.

Preferred Stock

A class of ownership in a corporation that has a higher claim on assets and earnings than common stock, often with dividend priority.