设函数f(X)=(1+x^2)除以(1-X^2),求证:f(1除以X)=-f(x)
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设函数f(X)=(1+x^2)除以(1-X^2),求证:f(1除以X)=-f(x)
设函数f(X)=(1+x^2)除以(1-X^2),求证:f(1除以X)=-f(x)
设函数f(X)=(1+x^2)除以(1-X^2),求证:f(1除以X)=-f(x)
f(X)=(1+x^2)/(1-X^2) 注:/是除以的意思
f(1/x)=(1+(1/x)^2)/(1-(1/x)^2) 分子分母乘X^2
=(x^2+1)/(x^2-1)
=-(1+x^2)/(1-x^2)
=-f(x)