It is proved that the function y = 1 / X & # 178; is bounded on (1,2)

It is proved that the function y = 1 / X & # 178; is bounded on (1,2)

Prove: because y = 1 / x ^ 2 is continuous on (1,2)
And lim (x - > 1 +) 1 / x ^ 2 = 1, LIM (x - > 2 -) 1 / x ^ 2 = 1 / 4, the limit values are constant
So y = 1 / x ^ 2 is bounded on (1,2)