The greatest integer less than or equal to `1/(cos290^0)+1/(sqrt(3)sin250^0)` is _____

Let [x] denote the greatest integer less than or equal to x . If x = (sqrt(3) +1)^(5) , then [x] is equal to

Let f(x) = (x^2-9x+20)/(x-[x]) where [x] denotes greatest integer less than or equal to x ), then

For each x in R , let [x]be the greatest integer less than or equal to x. Then lim_(xto1^+) (x([x]+absx)sin[x])/absx is equal to

Let [x] denotes the greatest integer less than or equal to x . If the function f(x)="tan"(sqrt([n])x) has period pi/3dot then find the value of ndot

The greatest integer less than or equal to the number log_2(15)xx log_(1/6)2xx log_3(1/6) is

For each t in R ,let[t]be the greatest integer less than or equal to t. Then lim_(xto1^+)((1-absx+sinabs(1-x))sin(pi/2[1-x]))/(abs(1-x)[1-x])

If f(x)={{:((sin[x])/([x])","" ""for "[x]ne0),(0","" ""for "[x]=0):} where [x] denotes the greatest integer less than or equal to x. Then find lim_(xto0)f(x).

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) = [x] , where [x] denotes the greater integer less than or equal to x. if a = sqrt(2011 ^2 +2012 ) then the value of f (a) is equal to