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

question 109

Multiple Choice

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.

• A) 118.933
• B) 114.133
• C) 34.3233
• D) 114.333
• E) 115.933

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Definitions:

Three-Phase Motor

An electric motor that operates on three phases of alternating current, offering smoother and more efficient operation than single-phase motors for high-power applications.

Direction of Rotation

The direction in which a mechanical or electrical device rotates, which can be clockwise or counterclockwise.

Leads

Conductors or wires that provide electrical connections between the components of an electrical circuit.

Squirrel-Cage Motor

A type of induction motor characterized by a rotor designed as a series of short-circuited rings connected by bars, resembling a squirrel cage.