Find the First Four Nonzero Terms in the Maclaurin Series $\ln \left( 1 + x ^ { 3 } \right)$

question 252

Multiple Choice

Find the first four nonzero terms in the Maclaurin series for the function.
- $\ln \left( 1 + x ^ { 3 } \right)$

• A) \(x ^ { 3 } - \frac { 1 } { 2 } x ^ { 6 } + \frac { 1 } { 6 } x ^ { 9 } - \frac { 1 } { 24 } x ^ { 12 } + \ldots\)
• B) \(x ^ { 3 } + \frac { 1 } { 2 } x ^ { 6 } - \frac { 1 } { 6 } x ^ { 9 } + \frac { 1 } { 24 } x ^ { 12 } + \ldots\)
• C) \(\frac { 1 } { 3 } x ^ { 3 } - \frac { 1 } { 6 } x ^ { 6 } + \frac { 1 } { 9 } x ^ { 9 } - \frac { 1 } { 12 } x ^ { 12 } + \ldots\)
• D) \(x ^ { 3 } - \frac { 1 } { 2 } x ^ { 6 } + \frac { 1 } { 3 } x ^ { 9 } - \frac { 1 } { 4 } x ^ { 12 } + \ldots\)

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