Find the Limit $\lim _{x \rightarrow 0} \frac{\sqrt{x+14}-\sqrt{14}}{x}$ , If It Exists

question 59

Multiple Choice

Find the limit $\lim _{x \rightarrow 0} \frac{\sqrt{x+14}-\sqrt{14}}{x}$ , if it exists.

• A) Does not exist
• B) \(\frac{\sqrt{14}}{28}\)
• C) \(\frac{\sqrt{14}}{2}\)
• D) \(\frac{\sqrt{14}}{14}\)

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Definitions:

Income Sharing

An agreement to distribute earnings or profits among participants, often seen in partnership arrangements or cooperative businesses.

Gains and Losses

Financial terms referring to the money made or lost on the sale of assets, separate from the ordinary operations of the business.

Cash Distribution

The payment of earnings or capital to the members, partners, or shareholders of a company or an organization.

Income and Loss Sharing

A method of partnership where profits and losses are distributed among partners according to their agreed-upon percentages or capital contributions.