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Answer to Question #3912 in Real Analysis for tanmay

Question #3912
What is the interpretation of [x]?

<br>What is the domain of function f(x)=1/[x]+1?
Expert's answer
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,+∞)

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