Answer to Question #3912 in Real Analysis for tanmay

Question

What is the interpretation of [x]?


What is the domain of function f(x)=1/[x]+1?

Answer 1

1) What is the interpretation of [x]?

By definition [x] is the greates
integer, which is less or equal to x.
So [2.345]=2,& [3]=3,&
[-12.4]=-13


2) What is the domain of function
f(x)=1/[x]+1?

This function is undefined when [x]=0, so x=0.
Thus the
domain of f is
(-∞, 0)& U& (0,+∞)