If `[dot]` denotes the greatest integer function, then find the value of `("lim")_(xvec0)` `([x]+[2x]++[n x])/(n^2)`

If [dot] denotes the greatest integer function, then find the value of int_1^2[3x]dx

If [.] denotes the greatest integer function then find the value of lim_(n rarr oo)([x]+[2x]+...+[nx])/(n^(2))

If [x] denotes the greatest integer function .Find the solution set of equation [x]^2 +5[x] +6=0

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

If [.] denotes the greatest integer function then the domain of the real-valued function log[x+(1)/(2)]|x^(2)-x-2| is

If f(n)=int_(0)^(x)[cos t]dt, where x in(2n pi,2n pi+(pi)/(2));n in N and [*] denotes the greatest integer function.Then, the value of f((1)/(pi))| is ...

If [log_2 (x/[[x]))]>=0 . where [.] denotes the greatest integer function, then :