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

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

If [dot] denotes the greatest integer function, then find the value of lim_(x->0) ([x]+[2x]++[n x])/(n^2)

[x] denote the greatest integer function. int_(0)^(50)sin{x-[x]pi}dx is equal to-

If [x]^2-5[x]+6=0 (where [.] denotes the greatest integer function), then x belongs to

lim_(xrarr1([x]+[x]) , (where [.] denotes the greatest integer function )

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

int_(-1)^2[([x])/(1+x^2)]dx ,w h e r e[dot] denotes the greater integer function, is equal to (a) -2 (b) -1 (c) 0 (d) none of these

IfI=int_(-20pi)^(20pi)|sinx|[sinx]dx(w h e r e[dot] denotes the greatest integer function), then the value of I is -40 (b) 40 (c) 20 (d) -20

The range of f(x)=[|sin x|+|cosx"|""]"dot Where [.] denotes the greatest integer function, is {0} (b) {0,1} (c) {1} (d) none of these

The range of f(x)=[|sin x|+|cosx"|""]"dot Where [ ] denotes the greatest integer function, is {0} (b) {0,1} (c) {1} (d) none of these