If [x] denotes the greatest integer function , then the domain of the function f(x)=[x] sin (pi/[x+1]), is

Answers (1)

Solution:     We can write   [x+1]=[x]+1.  Therefore , the given function

                      can be written as

                       f(x)=[x]sin [fracpi[x]+1].

                    This function is undefined if   x in [-1,0).

                    Rightarrow              D(f)=R-[-1,0). 

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