请看这张图:http://hiphotos.baidu.com/xiaoqimei/pic/item/325cb111ace4d47ecb80c4c2.jpg
參考答案:把 -x 代入原函数得:
f(-x) = (1/(2^(-x)-1)+1/2)*(-x)^3
= (2^x/(1-2^x)+1/2)*(-x^3)
= (2*2^x+1-2^x)*x^3)/(2*(2^x-1))
= (2^x+1)*x^3/(2*(2^x-1))
又:f(x) = (1/(2^x-1)+1/2)*x^3
= (2^x+1)*x^3/(2*(2^x-1))
所以 f(-x)=f(x)