The domain of the function `f(x)=1/(sqrt({sinx}+{sin(pi+x)}))` where `{dot}` denotes the fractional part, is (a)`[0,pi]` (b) `(2n+1)pi/2, n in Z` (c)`(0,pi)` (d) none of these

" 4.The domain of the function "f(x)=(1)/(sqrt({sin x}+{sin(pi+x)}))" where "{" -} denotes the fractional part,is "

The period of the function f(x)=cos2pi{2x}+ sin2 pi {2x} , is ( where {x} denotes the functional part of x)

The domain of f(x)=sqrt(1-x^(2))+sqrt(sin(pi sin(pi x))) is

lim_(x rarr1)({x})^((1)/(n pi x)) ,where {.} denotes the fractional part function

The period of function 2^({x}) +sin pi x+3^({x//2})+cos pi x (where {x} denotes the fractional part of x) is

The range of the function f(x)=cosec^(-1)[sinx] " in " [0,2pi] , where [*] denotes the greatest integer function , is

The domain of the function f(x)=sqrt(abs(sin^(-1)(sinx))-cos^(-1)(cosx)) in [0,2pi] is

The domain of definition of the function f(x)=ln{x}+sqrt(x-2{x}) is: (where { } denotes fractional part function) (A) (1,oo) (B) (0,oo) (C) (1,oo)~I^(+) (D) None of these

The domain of the function f(x)=(x)/(sqrt(sin(ln x)-cos(ln x))),(n in Z) is (a) (e^(2n pi),e^((3n+(1)/(2))pi)(b))(e^((2n+(1)/(4))pi),e^((2n+(3)/(4))pi))( d) none of these (e^((2n+(1)/(4))pi),e^((2n-(3)/(4))pi))( d) none of these

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}