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CONTINUITY QUESTION : Examine the continuity of the function : f(x)= ( 2[x] )/ ( 3x-|x| ) at x=-1/2 and x=1

Mathematics
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In order to get the best possible answers, it is helpful if you say in what your thoughts on it are so far; this will prevent people from telling you things you already know, and help them write their answers at an appropriate level.
Well said @FoolForMath ! :p
I know, I am so amazing ;)

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Other answers:

Oh please ! WAKE UP ! :P
Anyways , I will believe that you are SUPER-DUPER AMAZING , only when you will SOLVE THIS question ! :p And please no direct answers , the whole explanation is required :p
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You should not worr y about the denominator. It is continious at any x except at x=0. All you have to examine is the function g(x) = [x]. Where is the function g(x) discontinuous?
See for example http://mathworld.wolfram.com/IntegerPart.html
check right and left limits at x=-1/2 and x=1 If right limits are equal to left limits the function is continuous
Iam not able to deal with [x] ! :-( When there is a positive number inside [x] , that's ok with me , but when there is a negative number , Iam not able to apply the left/right hand limit ! Please help
[-1.5] = -2. More formally, \[ \lfloor-a \rfloor = - \lceil a \rceil \]
You do not have negative numbers now, you have 1 and 1/2
its -1/2
Ok apply LHL to [x] where x->-1/2
I did not see the -. I need better glasses.
[ -1/2 ] = [-0.5]=-1
[x} is constant at any open interval having end points n, n+1 or n is a positive or negative integer.
so -1/2 is in the interval (-1,0). Is {x] continuous at -1/2?
Heya ! Iam finally through with this question. So before closing this question , I would like to thank all of you-" THANK YOU !" :-)

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