If `0le[x]lt2,-1le[y]lt1and1le[z]lt3`, where `[*]` denotes the greatest integer function, then the maximum value of the determinant
`|{:([x]+1,,[y],,[z]),([x],,[y]+1,,[z]),([x],,[y],,[z]+1):}|` is -

If f(x)={{:(,x[x], 0 le x lt 2),(,(x-1)[x], 2 le x lt 3):} where [.] denotes the greatest integer function, then

Find the value of the "determinant" |{:(1,x,y+z),(1,y,z+x),(1,z,x+y):}|

Find the value of the "determinant" |{:(1,x,y+z),(1,y,z+x),(1,z,x+y):}|

If f(x)=(x^(2)+1)/([x]) , ([.] denotes the greatest integer function), 1 le x lt 4 , then

If f(x)={{:(,x[x], 0 le x lt 2),(,(x-1)[x], 2 le x lt 3):} where [.] denotes the greatest integer function, then (x) is continuous at x=2

If [] denotes the greatest integer less than or equal to the real number under consideration and -1lt=xlt0,0lt=ylt1,1lt=zlt2, the value of the determinant |{:([x]+1,[y],[z]),([x],[y]+1,[z]),([x],[y],[z]+1):}| is

If [] denotes the greatest integer less than or equal to the real number under consideration and -1lt=xlt0,0lt=ylt1,1lt=zlt2, the value of the determinant |{:([x]+1,[y],[z]),([x],[y]+1,[z]),([x],[y],[z]+1):}| is