Sketch the curves
(ii) `y=[x]+sqrt(x-[x])`
(where [.] denotes the greatest integer function).

Sketch the curves (iii) y=|[x]+sqrt(x-[x])| (where [.] denotes the greatest integer function). (where [.] denotes the greatest integer function).

Prove that f(x) = [tan x] + sqrt(tan x - [tan x]) . (where [.] denotes greatest integer function) is continuous in [0, (pi)/(2)) .

If [x]^(2)- 5[x] + 6= 0 , where [.] denote the greatest integer function, then

find the domain of f(x)=1/sqrt([x]^(2)-[x]-6) , where [*] denotes the greatest integer function.

The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greatest integer function, is

f(x)=log(x-[x]) , where [*] denotes the greatest integer function. find the domain of f(x).

The number of points where f(x) = [sin x + cosx] (where [.] denotes the greatest integer function) x in (0,2pi) is not continuous is (A) 3 (B) 4 (C) 5 (D) 6

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

Find the number of solution of the equations |cos x |=[x] , (where [.] denotes the greatest integer function ).

If alpha is the number of solution of |x|=log(x-[x]) , (where [.] denotes greatest integer function) and lim_(xto alpha)(xe^(ax)-bsinx)/(x^(3)) is finite, the value of (a-b) is