find v( x )= Lim t→0 2x/ π tan −1 ( 2 /t )

Plot the graph of the function f(x)=lim_(t rarr0)((2x)/(pi)(tan^(-1)x)/(t^(2)))

If f(x)=lim_(t to 0)[(2x)/(pi).tan^(-1)(x/(t^(2)))] ,then f(1) is …….

If f(x)=lim_(t to 0)[(2x)/(pi).tan^(-1)(x/(t^(2)))] ,then f(1) is …….

If f(x)=lim_(t to 0)[(2x)/(pi).tan^(-1)(x/(t^(2)))] ,then f(1) is …….

If f(x)=lim_(t to 0)[(2x)/(pi).tan^(-1)(x/(t^(2)))] ,then f(1) is …….

If f(x) = sin(lim_(t rarr 0)(2x)/picot^(-1) (x/t^2)) , then int_(-(pi)/(2))^((pi)/(2))f(x) dx is equal to (where , x ne0 )

If f(x) = sin(lim_(t rarr 0)(2x)/picot^(-1) (x/t^2)) , then int_(-(pi)/(2))^((pi)/(2))f(x) dx is equal to (where , x ne0 )

lim_(x rarr oo)int_(0)^(x){(1)/(sqrt(1+t^(2)))-(1)/(1+t)}dt=

lim_(x rarr oo)int_(0)^(x){(1)/(sqrt(1+t^(2)))-(1)/(1+t)}dt=