Question

几道数学分式题y=(x^2)/(1+x^2)=f(x),并且f（1）表示,当x=1时,求y.即f（1）=(1^2)/(1

Answer 1

f(n)=n^2/(1+n^2)

f(1/n)=(1/n)^2/[1+(1/n)^2]

=(1/n)^2/[(n^2+1)/n^2]

=1/n^2*n^2/(n^2+1)

=1/(n^2+1)

f(n)+f(1/n)

=n^2/（1+n^2)+1/(n^2+1)

=(n^2+1)/(n^2+1)

=1