Find the First Four Nonzero Terms in the Maclaurin Series $e ^ { - 6 x }$

question 146

Multiple Choice

Find the first four nonzero terms in the Maclaurin series for the function.
- $e ^ { - 6 x }$

• A) \(1 - 6 x + \frac { 36 x ^ { 2 } } { 2 ! } + \frac { - 216 x ^ { 3 } } { 3 ! } + \ldots\)
• B) \(x - 6 x + \frac { - 6 x ^ { 2 } } { 2 ! } + \frac { - 6 x ^ { 3 } } { 3 ! } + \ldots\)
• C) \(1 - 6 x + \frac { - 6 x ^ { 2 } } { 2 ! } + \frac { - 6 x ^ { 3 } } { 3 ! } + \ldots\)
• D) \(- 6 x - 216 x ^ { 3 } - 7776 x ^ { 5 } - 279,936 x ^ { 7 } + \ldots\)

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