If `f(x)={{:([x]+sqrt({x})",", xlt1),((1)/([x]+{x}^(2))",",xge1):}`, then
[where [.] and {.} represent the greatest integer and fractional part functions respectively]

Solve : [x]^(2)=x+2{x}, where [.] and {.} denote the greatest integer and the fractional part functions, respectively.

Solve 2[x]=x+{x},where [.] and {} denote the greatest integer function and the fractional part function, respectively.

If f(x) = [x^2] + sqrt({x}^2 , where [] and {.} denote the greatest integer and fractional part functions respectively,then

f(x)=[x^(2)]-{x}^(2), where [.] and {.} denote the greatest integer function and the fractional part function , respectively , is

In the questions, [x]a n d{x} represent the greatest integer function and the fractional part function, respectively. Solve: [x]^2-5[x]+6=0.

If f(x)=[x]^({x}) +{x}^([x]) + sin (pix) , Where [.] and {.} represent the greatest integer function and the fractional part function respectively, then f'(7/2) Is equal to

Solve the equation [x]{x}=x, where [] and {} denote the greatest integer function and fractional part, respectively.

Find the solution of the equation [x] + {-x} = 2x, (where [*] and {*} represents greatest integer function and fractional part function respectively.

If f(x)=(tanx)/(x) , then find lim_(xto0)([f(x)]+x^(2))^((1)/({f(x)})) , where [.] and {.} denotes greatest integer and fractional part function respectively.

If f(x)={((a^(2[x]+{x})-1)"/ "(2[x]+{x}),x!=0),(log_(e)a,x=0):} Then at x=0, (where [x] and {x} are the greatest integer function and fraction part of x respectively