If the function of `f(x) = [((x-5)^(2))/(A)]sin(x-5)+a cos(x - 2),"where"[*]` denotes the greatest integer function, is continuous and differentiable in (7, 9), then

The function f(x)=[x], where [x] denotes the greatest integer function,is continuous at

If f(x)=[2x], where [.] denotes the greatest integer function,then

If the function f(x)=[((x-2)^(3))/(a)]sin(x-2)+a cos(x-2),[. denotes the greatest integer function,is continuous in [4,6], then find the values of a .

f(x)= cosec^(-1)[1+sin^(2)x] , where [*] denotes the greatest integer function.

Let f(x)=(-1)^([x]) where [.] denotes the greatest integer function),then

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

The function f(x)=(sin(pi[x-pi]))/(4+[x]^2) , where [] denotes the greatest integer function, is continuous as well as differentiable for all x in R (b) continuous for all x but not differentiable at some x (c) differentiable for all x but not continuous at some x . (d) none of these

f(x)=2^(cos^(4)pi x+x-[x]+cos^(2)pi x), where [.] denotes the greatest integer function.

f(x)=sin^(-1)[log_(2)((x^(2))/(2))] where [.] denotes the greatest integer function.