Question 23
For a positive integer $n$, let
$$S_n=\sum_{k=1}^n\frac{k}{(2n-2k+1)(2n-k+1)},\qquad T_n=\sum_{k=1}^n\frac1k.$$
Which statement is true?
$$S_n=\sum_{k=1}^n\frac{k}{(2n-2k+1)(2n-k+1)},\qquad T_n=\sum_{k=1}^n\frac1k.$$
Which statement is true?