1. The problem statement, all variables and given/known data Evaluate lim x-->infinity [x]/x and lim--> -infinity [x]/x. 2. Relevant equations 3. The attempt at a solution The think the limits for both of these are 1. I also know that [x] is the largest integer not greater than x. I think that I can use the squeeze theorm to say that x-1/x <[x]/x <equal to 1. Does this arguement work for both limits or should I prove this an alternate way?