[" Lam "(" loy "x^(n)-|x])/(fx']),n in N," (L) I denotes yreatest "],[x+0" to ger less than or equal to "x" ) "]

The value of lim_(x rarr 0)(ln x^(n)-[x])/([x]) is equal to . [where [x] is greatest integer less than or equal to x ] (A) -1 (B) 0 (C) 1 (D) does not exist

The lim it lim_(x rarr0)(sin[x])/(x), where [x] denotes greatest integer less than or equal to x, is equal to

lim_(x->0) (lnx^n-[x])/[x], n in N where [x] denotes the greatest integer is

Let f(x)={[x-1,x" is even,[2x,"x is odd"]:} in N .If for some a in N,f(f(f(a)))=21 ,then lim_(x rarr a^(-)){(|xx^(3))/(a)-[(x)/(a)]} ,where "[t]" denotes the greatest integer less than or equal to "t" ,is equal to:

The function f(x)=(sec^(-1)x)/(sqrt(x-[x]), where [x] denotes the greatest integer less than or equal to x , is defined for all x in (a) R (b) R-{(-1,1)uu{n"|"n in Z}} (c) R-(0,1) (d) R-{n|n in N}

The function f(x)=(sec^(-1)x)/(sqrt(x)-[x]), where [x] denotes the greatest integer less than or equal to x, is defined for all x in R(b)R-{(-1,1)uu{n|n in Z}}R^(+)-(0,1)(d)R^(+)-{n|n in N}

The function f(x)=(sec^(-1)x)/(sqrt(x)-[x]), where [x] denotes the greatest integer less than or equal to x , is defined for all x in R (b) R-{(-1,1)uu{n"|"n in Z}} R^+-(0,1) (d) R^+-{n|n in N}

The function f(x)=(sec^(-1)x)/(sqrt(x-[x]), where [x] denotes the greatest integer less than or equal to x , is defined for all x in (a) R (b) R-{(-1,1)uu{n"|"n in Z}} (c) R-(0,1) (d) R-{n|n in N}

The function f(x)=(sec^(-1)x)/(sqrt(x-[x]), where [x] denotes the greatest integer less than or equal to x , is defined for all x in (a) R (b) R-{(-1,1)uu{n"|"n in Z}} (c) R-(0,1) (d) R-{n|n in N}