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

question 34

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) \(115.933\)

---

Definitions:

Self-Defeating Behavior

Actions or attitudes that undermine one's own success, often resulting from low self-esteem or self-worth.

Behavior Therapy

A form of psychotherapy focused on changing negative behaviors through conditioning and reinforcement techniques.

Principles Of Learning

Fundamental guidelines or rules that explain how individuals acquire skills, knowledge, habits, attitudes, or behaviors through study, experience, or teaching.

Orientation Behavior

The ability of an organism to recognize its position in its environment through cues and to adjust its behaviors accordingly.