Provide an Appropriate Response $\lim _ { x \rightarrow 1 } \frac { x ^ { 2 / 7 } - 1 } { x + 1 } =$

question 435

Multiple Choice

Provide an appropriate response.
-Evaluate $\lim _ { x \rightarrow 1 } \frac { x ^ { 2 / 7 } - 1 } { x + 1 } =$ by first converting it to a derivative at a particular $x$ -value.

• A) \(- \frac { 1 } { 7 }\)
• B) \(- \frac { 7 } { 2 }\)
• C) \(- \frac { 2 } { 7 }\)
• D) \(\frac { 2 } { 7 }\)

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Definitions:

Sherman Act

A foundational antitrust law in the United States that prohibits monopolistic practices and promotes competition.

Free Competition

An economic condition where businesses are allowed to compete without undue restrictions, encouraging innovation and fair prices.

Monopolizing

The act of dominating a particular market or industry, often by eliminating or significantly reducing competition.

Sherman Act

A foundational antitrust law in the United States that prohibits monopolies, attempts to monopolize, and other practices that restrain interstate commerce and trade.