If `lim_(x rarr2^(+))2tan^(-1)(x/2)+sin^(-1)((x)/(1+(x^(2))/(4)))=p` then value of `[p]` is (where [.] denotes greatest integer function "

If lim_(x rarr2^(+))2tan^(-1)(x)/(2)+sin^(-1)(x/(1+(x)/(4)))=p then value of [p] is (where [.] denotes greatest integer function)

If lim_(x rarr2^(+))2tan^(-1)(x/2)+sin^(-1)(x/(1+(x^2)/(2)))=p then value of [p] is (where [.] denotes greatest integer function)

The value of lim_(x rarr0)[(sin x)/(x)] is (where [.] denotes greatest integer function)

lim_(x rarr-1)([x]+|x|). (where [.] denotes the greatest integer function)

Let f(x) = (x[x])/(x^2+1) : (1, 3) rarr R then range of f(x) is (where [ . ] denotes greatest integer function)

The value of lim_(x rarr1)[sin^(-1)x] is : (Where [.) denotes greatest integer function).

Let 'a' denote the roots of equation cos(cos^(-1)x)+sin^(-1)sin((1+x^(2))/(2))=2sec^(-1)(sec x) then possible value of [|10a|] where [.] denotes the greatest integer function will be

f(x)=sin^(-1)[log_(2)((x^(2))/(2))] where [.] denotes the greatest integer function.

lim_(x rarr1^(-1))([x])^(1-x) where [.] denotes greatest integer function