Use the Binomial Series to Expand the Function $\sqrt { 4 + x }$

question 39

Multiple Choice

Use the binomial series to expand the function $\sqrt { 4 + x }$ as a power series. Give the coefficient of $x ^ { 2 }$ in that series.

• A) \(- \frac { 1 } { 8 }\)
• B) \(- \frac { 1 } { 32 }\)
• C) \(- \frac { 1 } { 64 }\)
• D) \(\frac { 1 } { 8 }\)
• E) \(\frac { 1 } { 32 }\)
• F) \(- \frac { 1 } { 16 }\)
• G) \(\frac { 1 } { 64 }\)
• H) \(\frac { 1 } { 16 }\)

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