Let `f(x)=[tanx[cotx]], x in [(pi)/(12),(pi)/(2)),` (where [.] denotes the greatest integer less than or equal to x). The number of points, where f(x) is discontinuous is

Let f(x)=[t a n x[cot x]],x [pi/(12),pi/(12)] , (where [.] denotes the greatest integer less than or equal to x ). Then the number of points, where f(x) is discontinuous is a. one b. zero c. three d. infinite

Let [x] denotes the greatest integer less than or equal to x. If f(x) =[x sin pi x] , then f(x) is

Let f(x)=[cosx+ sin x], 0 lt x lt 2pi , where [x] denotes the greatest integer less than or equal to x. The number of points of discontinuity of f(x) is

The function f(x)=(tan |pi[x-pi]|)/(1+[x]^(2)) , where [x] denotes the greatest integer less than or equal to x, is

Let [x] denotes the greatest integer less than or equal to x and f(x)=[tan^(2)x] . Then

If f(x)=|x-1|-[x] , where [x] is the greatest integer less than or equal to x, then

lim_(xrarr oo) (log[x])/(x) , where [x] denotes the greatest integer less than or equal to x, is

Let |x| be the greatest integer less than or equal to x, Then f(x)= x cos (pi (x+[x]) is continous at

If f(x)=e^([cotx]) , where [y] represents the greatest integer less than or equal to y then

Let f(x)=[x]+[-x] , where [x] denotes the greastest integer less than or equal to x . Then, for any integer m