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

Multiple Choice

$$\text { Use the linear approximation } ( 1 + x ) ^ { k } \approx 1 + k x \text {, as specified. }$$
-Find an approximation for the function $f ( x ) = ( 1 - x ) ^ { 5 }$ for values of $x$ near zero.

A) $f ( x ) \approx 1 + 6 x$
B) $f ( x ) \approx 1 + 5 x$
C) $f ( x ) \approx 5 + 5 x$
D) $f ( x ) \approx 1 - 5 x$