Use Series to Evaluate the Limit Correct to Three Decimal $$\lim _ { x \rightarrow 0 } \frac { 7 x - \tan ^ { - 1 } 7 x } { x ^ { 3 } }$$

question 68

Short Answer

Use series to evaluate the limit correct to three decimal places.
$$\lim _ { x \rightarrow 0 } \frac { 7 x - \tan ^ { - 1 } 7 x } { x ^ { 3 } }$$
Select the correct answer.

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Definitions:

Sherman Act

A foundational U.S. antitrust law aimed at maintaining competition by prohibiting monopolies, cartels, and other forms of restrictive trade practices.

Monopoly Power

The ability of a single firm to control the market price and output of a good or service due to lack of competition.

Alcoa Case

A landmark antitrust case in which the Aluminum Company of America (Alcoa) was found to have monopolized the production and sale of aluminum, violating the Sherman Act.

Federal Trade Commission

A federal agency established to prevent fraudulent, deceptive, and unfair business practices in the marketplace.