$$\text { Use the linear approximation } ( 1 + x ) ^ { k } \approx 1 + k x \text {, as specified. }$$

question 49

Multiple Choice

$$\text { Use the linear approximation } ( 1 + x ) ^ { k } \approx 1 + k x \text {, as specified. }$$
-Find an approximation for the function $f ( x ) = \frac { 2 } { 1 - x }$ for values of $x$ near zero.

• A) \(f ( x ) \approx 2 + 2 x\)
• B) \(f ( x ) \approx 1 + 2 x\)
• C) \(f ( x ) \approx 1 - 2 x\)
• D) \(f ( x ) \approx 2 - 2 x\)

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