The number of roots of `x^2-2=[sinx],w h e r e[dot]` stands for the greatest integer function is 0 (b) 1 (c) 2 (d) 3.

Range of the function e^(sin(x-[x])pi) where [*] stands for the greatest integer function is

The number of solutions of [sinx+cosx]=3+[-sinx]+[-cosx](w h e r e[] denotes the greatest integer function), x in [0,2pi] , is 0 (b) 4 (c) infinite (d) 1

The range of f(x)=[|sin x|+|cosx"|""]"dot Where [.] denotes the greatest integer function, is {0} (b) {0,1} (c) {1} (d) none of these

The sum of roots of the equation cos^(-1)(cos x)=[x.] denotes the greatest integer function,is 2 pi+3 (b) pi+3 (c) pi-3 (d) 2 pi-3

lim_(x->0)[(1-e^x)(sinx)/(|x|)]i s(w h e r e[dot] represents the greatest integer function). (a)-1 (b) 1 (c) 0 (d) does not exist

Number of solutions of the equation cos[x]=e^(2x-1),x in [0,2pi] , where[.] denotes the greatest integer function is

The range of the function f(x)=(sin(pi[x]))/(x^(2)+1) (Where [ ] denotes greatest integer function) is (A) {0} (B) (-oo,oo) (C) (0,1) (D) R-{0}

lim_(xrarr pi//2)([x/2])/(log_e(sinx)) (where [.] denotes the greatest integer function)

The function f(x)=1+x(sinx)[cosx], 0ltxlepi//2 , where [.] denotes greatest integer function