Find the Linear Approximation To $f ( x ) = \frac { 1 } { ( 2 + x ) ^ { 3 } }$

question 80

Multiple Choice

Find the linear approximation to $f ( x ) = \frac { 1 } { ( 2 + x ) ^ { 3 } }$ at $a = 0$

• A)
• \(\frac { 1 } { 8 } - \frac { 1 } { 8 } x\)
• B)
• \(\frac { 1 } { 8 } + \frac { 1 } { 8 } x\)
• C)
• \(\frac { 1 } { 8 } + \frac { 3 } { 16 } x\)
• D)
• \(\frac { 1 } { 8 } + \frac { 1 } { 16 } x\)
• E) \(\frac { 1 } { 8 } - \frac { 3 } { 16 } x\)
• F) \(\frac { 1 } { 8 } - \frac { 3 } { 4 } x\)
• G) \(\frac { 1 } { 8 } - \frac { 1 } { 16 } x\)
• H)
• \(\frac { 1 } { 8 } + \frac { 3 } { 4 } x\)

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