设f(n)=1-1/2+1/3-1/4+...+1/(2n-1)-1/2n,则f(k+1)-f（k)的值为

Question

设f(n)=1-1/2+1/3-1/4+...+1/(2n-1)-1/2n,则f(k+1)-f（k)的值为

Answer 1

1/(2k+1)-1/(2k+2)