If [.] denotes the greatest integer function then `lim_(x→0)`​`[x^2/(tanx.sinx)]`=

If [.] denotes the greatest integer function, then f(x)=[x]+[x+(1)/(2)]

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

If [.] denotes the greatest integer function then lim_(x->oo)([x]+[2x]+[3x]+[4x])/x^2 is

If n is a non zero integer and [*] denotes the greatest integer function then lim_(x->0)[nsinx/x] + lim_(x->0)[ntanx/x] equals

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

Let f(x)=(x(sinx+tanx))/([(x+pi)/(pi)]-1//2) (where (.] denotes the greatest integer function) then find f"(0) .

Given lim_(x to 0)(f(x))/(x^(2))=2 , where [.] denotes the greatest integer function, then

If [ ] denotes the greatest integer function, lim_(x to(pi)/2)(5 sin [cos x])/([cos x]+2) is

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

If f(x) = { sin[x]/([x]),[x] != 0 ; 0, [x] = 0} , Where[.] denotes the greatest integer function, then lim_(x rarr 0) f(x) is equal to