If `[dot]` denotes the greatest integer function, then `(lim)_(xvec0)x/a[b/x]` `b/a` b. `0` c. `a/b` d. does not exist

If [.] denotes the greatest integer function, then lim_(xrarr0) [(x^2)/(tanx sin x)] , is

("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

If [.] denotes the greatest integer function , then lim_(xrarr0) sin[-sec^2x]/(1+[cos x ]) is equal to

If [.] is the greatest integer function and f(x)=[tan^2x], then (a) ("lim")_(xvec0)f(x) does not exist (b) f(x) is continuous at x=0 (c) f(x) is not differentiable at x=0 (d) f^(prime)(0)=1

If f(x)={("sin"[x])/([x]),for[x]!=0 0,for[x]=0,w h e r e[x] denotes the greatest integer less than or equal to x , then ("lim")_(xvec0)f(x) is 1 (b) 0 (c) -1 (d) none of these

Given lim_(x rarr0)(f(x))/(x^(2))=2, where [.] denotes the greatest integer function,then lim_(x rarr0)[f(x)]=0lim_(x rarr0)[f(x)]=1lim_(x rarr0)[(f(x))/(x)] does not exist lim _(x rarr0)[(f(x))/(x)] exists

Let f(x)=["sinx"/x], x ne 0 , where [.] denotes the greatest integer function then lim_(xto0)f(x)

Column I ([.] denotes the greatest integer function), Column II ""("lim")_(xvec0)([100(sinx)/x]+[100(tanx)/x]) , p. 198 ("lim")_(xvec0)([100 x/(sinx)]+[100(tanx)/x]) , q. 199 ("lim")_(xvec0)([100(sin^(-1)x)/x]+[100(tan^(-1)x)/x]) , r. 200 ("lim")_(xvec0)([100 x/(sin^(-1)x)]+[100(tan^(-1)x)/x]) , s. 201

Let f(x) = [tan?x], (where [] denotes greatest integer function). Then -(B) f(x) is continuous at x = 0.(A) lim f(x) does not exist(C) f(x) is not differentiable at x = 0(D) f'(0) = 1nail futhara (denotes the greatest intege

(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