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

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

Find the period (if periodic) of the following function ([.] denotes the greatest integer functions): f(x)=tan(pi/2[x])

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

lim_(xto0^(-)) (sum_(r=1)^(2n+1)[x^(r)]+(n+1))/(1+[x]+|x|+2x), where ninN and [.] denotes the greatest integer function, equals

If f(x)= cos [ pi^(2)] x+ cos[ -pi^(2)] x where [x] denotes the greatest integer function, then show that f(-pi)=0

If -int_0^(2pi) [sinx+cosx]dx =Api and [x] denotes the greatest integer function then A is equal to

If [x+[2x]] lt3 , where [.] denotes the greatest integer function, then x is

If f(x)= [sin^2x] (where [.] denotes the greatest integer function ) then :