Find the Terms in the Maclaurin Series for the Function $f ( x ) = e ^ { - x }$

question 238

Multiple Choice

Find the terms in the Maclaurin series for the function $f ( x ) = e ^ { - x }$ , as far as the term in $x ^ { 3 }$ .

• A) \(1 - x + \frac { 1 } { 2 } x ^ { 2 } - \frac { 1 } { 6 } x ^ { 3 }\)
• B) \(1 + x + \frac { 1 } { 2 } x ^ { 2 } - \frac { 1 } { 6 } x ^ { 3 }\)
• C) \(1 - x + x ^ { 2 } - x ^ { 3 }\)
• D) \(1 + x + x ^ { 2 } + x ^ { 3 }\)
• E) \(1 - x + \frac { 1 } { 2 } x ^ { 2 } - \frac { 1 } { 3 } x ^ { 3 }\)
• F) \(1 + x + \frac { 1 } { 2 } x ^ { 2 } + \frac { 1 } { 3 } x ^ { 3 }\)
• G) \(- x + x ^ { 3 }\)
• H) \(x - x ^ { 3 }\)

Evaluate the contribution of positive psychology towards understanding human flourishing.

Distinguish between intrinsic and extrinsic motivation.

Identify the core aspects of human agency as defined by Bandura.

Understand the differentiation between time-series data and cross-sectional data.

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