Question

f(x+T)=1/f(x)

f(x+T)=1/f(x)和f(x+T)=-1/f(x)
如何求周期呢？
谢谢老师啦

Answer 1

f(x+t)=1/f(x) ==> f(x)=1/f(x+t)

令x=x-t ==> f(x)=1/f(x-t)

同理x=x+t可得:
f(x+2t)=1/f(x+t) ==> f(x+2t)=1/f(x+t)

==> f(x)=f(x+2t)
周期为2t