Find a Linearization at a Suitably Chosen Integer near a at Which

question 165

Multiple Choice

Find a linearization at a suitably chosen integer near a at which the given function and its derivative are easy to evaluate.
- $$f ( x ) = \frac { x } { x + 1 } , a = 5.9$$

• A) \(L ( x ) = \frac { 1 } { 49 } + \frac { 36 } { 49 } x\)
• B) \(L ( x ) = \frac { 36 } { 49 } + \frac { 1 } { 49 } x\)
• C) \(L ( x ) = \frac { 1 } { 49 } + \frac { 6 } { 49 } x\)
• D) \(L ( x ) = \frac { 6 } { 49 } + \frac { 1 } { 49 } x\)

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