Find the Terms of the Maclaurin Series For $\frac { 1 } { \sqrt { 1 - x } }$

question 28

Multiple Choice

Find the terms of the Maclaurin series for $\frac { 1 } { \sqrt { 1 - x } }$ , as far as the term in $x ^ { 3 }$ .

• A) \(1 - x + x ^ { 2 } - x ^ { 3 }\)
• B) \(1 - \frac { 1 } { 2 } x + \frac { 1 } { 4 } x ^ { 2 } + \frac { 1 } { 8 } x ^ { 3 }\)
• C) \(1 + \frac { 1 } { 2 } x + \frac { 3 } { 8 } x ^ { 2 } + \frac { 5 } { 16 } x ^ { 3 }\)
• D) \(1 - \frac { 1 } { 2 } x + \frac { 3 } { 4 } x ^ { 2 } - \frac { 5 } { 8 } x ^ { 3 }\)
• E) \(1 + \frac { 1 } { 2 } x + \frac { 1 } { 4 } x ^ { 2 } + \frac { 1 } { 6 } x ^ { 3 }\)
• F) \(1 - \frac { 1 } { 2 } x + \frac { 1 } { 6 } x ^ { 2 } + \frac { 1 } { 24 } x ^ { 3 }\)
• G) \(1 + \frac { 1 } { 2 } x + \frac { 3 } { 4 } x ^ { 2 } + \frac { 15 } { 16 } x ^ { 3 }\)
• H) \(1 - \frac { 1 } { 2 } x + \frac { 3 } { 8 } x ^ { 2 } + \frac { 7 } { 24 } x ^ { 3 }\)

Identify the difference between the Bureau of Labor Statistics' household and establishment surveys.

Understand the effects of sectoral shifts on unemployment.

Recognize the effectiveness of public programs in reducing unemployment.

Acknowledge the consequences of unemployment insurance on the labor market.

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