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

question 154

Multiple Choice

Use series to evaluate the limit.
- $$\lim _ { x \rightarrow 0 } \frac { \sin ^ { - 1 } 3 x - \sin 3 x } { \tan ^ { - 1 } 3 x - \tan 3 x }$$

• A) \(- \frac { 1 } { 2 }\)
• B) \(- \frac { 2 } { 3 }\)
• C) \(- \frac { 1 } { 3 }\)
• D) \(\frac { 1 } { 3 }\)

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