Proof: inequality 2 / 2 + 3 / 2 + 4 / 2 + n / 2 is less than N / 1 No mistakes... This is from a book. It seems to be less than N-1 of n

Proof: inequality 2 / 2 + 3 / 2 + 4 / 2 + n / 2 is less than N / 1 No mistakes... This is from a book. It seems to be less than N-1 of n

Is it: 1 / 2 ^ 2 + 1 / 3 ^ 2 + 1 / 4 ^ 2 +. + 1 / N ^ 2 = 2)
Proof by induction
Let n = 2, left = 1 / 4, right = (2-1) / 2 = 1 / 2,
Let n = k, the inequality holds, that is, 1 / 2 ^ 2 + 1 / 3 ^ 2 + 1 / 4 ^ 2 +. + 1 / K ^ 2