Let F(x) = $\frac { 1 } { 1 - x }$

question 9

Multiple Choice

Let f(x) = $\frac { 1 } { 1 - x }$ . Determine the fourth Taylor polynomial at x = 0.

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

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Definitions:

Mental Set

A framework for thinking about a problem based on previous experiences and solutions, which can both aid and limit problem-solving ability.

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A security feature in vehicles or technology devices that automatically locks the device or vehicle after a set period of time or under certain conditions.

Confirmation Bias

The tendency to search for, interpret, favor, and recall information in a way that confirms one's preexisting beliefs or hypotheses.

Confirmation Bias

The inclination to seek out, interpret, prefer, and remember information in a manner that affirms one's already held beliefs or theories.