When x approaches infinity, the limit is {sin (x) ^ 2-x} \ {(cosx) ^ 2-x} How much is the limit when x approaches integral infinity

When x approaches infinity, the limit is {sin (x) ^ 2-x} \ {(cosx) ^ 2-x} How much is the limit when x approaches integral infinity

Sin (x) and COS (x) are bounded quantities
A bounded quantity is negligible relative to an infinite quantity
The limit can be reduced to - X / - x = 1