If A(k)=(k+1)^-k, and k=0, what is the value of A(A(A(k)))? Choices.
A) 0
B) (2/3)^(1/2)
C) 1
D) (3/2)^(1/2)
E) (2/3)^-2
A(A(A(0)))=A(A(1))=A(1/2)=(1/2+1)^-1/2=(2/3)^(1/2)   Thus, the answer is (2/3)^(1/2).
<result>B</result>
If A(k)=(k+1)^-k, and k=0, what is the value of A(A(A(k)))?