Find the Fourth Degree Maclaurin Polynomial for the Function $$f ( x ) = \frac { 1 } { x + 4 }$$

question 141

Multiple Choice

Find the fourth degree Maclaurin polynomial for the function. $$f ( x ) = \frac { 1 } { x + 4 }$$

• A) \(\frac { 1 } { 4 } + \frac { 1 } { 16 } x - \frac { 1 } { 64 } x ^ { 2 } + \frac { 1 } { 256 } x ^ { 3 } - \frac { 1 } { 1024 } x ^ { 4 }\)
• B) \(\frac { 1 } { 4 } + \frac { 1 } { 16 } x + \frac { 1 } { 64 } x ^ { 2 } + \frac { 1 } { 256 } x ^ { 3 } + \frac { 1 } { 1024 } x ^ { 4 }\)
• C) \(4 + 16 x + 64 x ^ { 2 } + 256 x ^ { 3 } + 1024 x ^ { 4 }\)
• D) \(4 - 16 x + 64 x ^ { 2 } - 256 x ^ { 3 } + 1024 x ^ { 4 }\)
• E) \(\frac { 1 } { 4 } - \frac { 1 } { 16 } x + \frac { 1 } { 64 } x ^ { 2 } - \frac { 1 } { 256 } x ^ { 3 } + \frac { 1 } { 1024 } x ^ { 4 }\)

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