Find the points of discontinuity of fo...

Find the points of discontinuity of following functions ( where ,[.] repesents greatest integer fuction )
(i) `f(x) =[x//3], x in [0,30]`
`(ii) f(x) =[log_(e)x]`
`(iii) f(x)= [ sin^(-1)x]`
`f(x) =[(2)/(1+x^(2))],x gt 0`

AI Generated Solution

Similar Questions

Explore conceptually related problems

Find the points of discontinuity of the function: f(x)=[[x]]-[x-1],w h e r e[dot] represents the greatest integer function

Find the domain and range of the following function: f(x)=log_([x-1])sinx, where [ ] denotes greatest integer function.

Find the number of points where f(x)=[x/3],x in [0, 30], is discontinuous (where [.] represents greatest integer function).

Domain of f(x)=log(x^2+5x+6)/([x]-1) where [.] denotes greatest integer function:

Find the inverse of the function: f:(2,3) to (0,1) defined by f(x)=x-[x], where[.] represents the greatest integer function

Find the domain of the function f(x)=log_(e)(x-[x]) , where [.] denotes the greatest integer function.

Number of points of discontinuity of f(x) =[x^(3)+3x^(2)+7x+2], where [.] represents the greatest integer function in [0,1] is ___________.

Discuss the differentiability of f(x) |[x]| x| "in" -1 lt x le 2, where [.] repesents the greatest intger function .

If f(x)=e^(sin(x-[x])cospix) , where [x] denotes the greatest integer function, then f(x) is

Draw the graph and find the points of discontinuity for f(x)=[x^(2)-x-1],x in[-1,2] ([.] represents the greatest integer function).