The discussion revolves around evaluating the limit of the expression ([[x]] + [[-x]]) as x approaches an integer n, where [[ ]] denotes the greatest-integer function. Participants are exploring the properties of this function and its graphical representation.
Some participants have provided guidance on graphing the functions involved and have confirmed the step function nature of the greatest-integer function. There is an ongoing exploration of how to approach the limit and the graphical aspects of the problem.
Participants are discussing the challenge of graphing functions without specific numerical values and the implications this has for understanding the limit. There is a focus on the characteristics of the greatest-integer function and its behavior near integer values.
I think that your first steps would be to graph y = [[x]] and y = [[-x]], and then graph y = [[x]] + [[-x]].CrossFit415 said:lim x --> n ([[x]] + [[-x]]) where n is an integer and [[ ]] is the greatest-integer function.
How would I go on about this?
Would I have to plug in n for x? So i got ([[n]] + [[-n]])