`("lim")_(xvec0)[min(y^2-4y+11)(sinx)/x](w h e r e[dot]d e not e st h e` greatest integer function is 5 (b) 6 (c) 7 (d) does not exist

("lim")_(xvec0)[(sin(sgn(x)))/((sgn(x)))], where[dot] denotes the greatest integer function, is equal to 0 (b) 1 (c) -1 (d) does not exist

lim_(x->0)[(1-e^x)(sinx)/(|x|)]i s(w h e r e[dot] represents the greatest integer function). (a)-1 (b) 1 (c) 0 (d) does not exist

lim_(xto0) [(1-e^(x))(sinx)/(|x|)] is (where [.] represents the greatest integer function )

lim_(x->0) (e^[[|sinx|]])/([x+1]) is , where [.] denotes the greatest integer function.

(lim)_(xvec-7)([x]^2+15[x]+56)/("sin"(x+7)"sin"(x+8))= (where [.] denotes the greatest integer function) a. is 0 b. is 1 c. is -1 d. does not exist

("lim")_(xvec1)[cos e c(pix)/2]^(1/((1-x)))(w h e r e[dot]r e p r e s e n t st h e gif is e q u a l to (a) 0 (b) 1 (c) oo (d) does not exist

Evaluate: int_(-100)^(100)[tan^(-1)x]dx ,w h e r e[x] represents greatest integer function.

lim_(xto(pi)/(2)) ([(x)/(2)])/(log_(e)(sinx))([.] denotes greatest integer function)

The value of (lim)_(xvecoo)[tan^(-1)(x+1)/(x+2)-dotpi/4],w h e r e[x] denotes greatest integer lt=x , is 1/2 b. -1/2 c.1 d. -1

The number of solutions of [sinx+cosx]=3+[-sinx]+[-cosx](w h e r e[] denotes the greatest integer function), x in [0,2pi] , is 0 (b) 4 (c) infinite (d) 1