Which of the Following Five Functions Will Be Smallest for Large

Multiple Choice

Which of the following five functions will be smallest for large values of x
Select the correct answer.

A) $f ( x ) = x ^ { - 36 }$
B) $f ( x ) = x ^ { - 216 }$
C) $g ( x ) = 6 ^ { - x }$
D) $f ( x ) = x ^ { - 6 }$
E) $h ( x ) = x ^ { - 100 }$