Thread: continuous functions

Consider the following formula:

f(x) = LIM n -> infinity (x^n)/(1+x^n)

Let D = {x: f(x) element of R} Calculate f(x) for all x elemend of D and determine where f: D -> R is continuous

There are just four cases you must consider:
|x|<1, |x|>1, x=1 and x=-1.