Coefficient of x in `f(x)=|(x,(1+sinx)^3,cosx),(1,log(1+x),2),(x^2,(1+x)^2,0)|` is

The coefficient of x in f(x)=|(x,(1+sinx)^3,cosx),(1,log(1+x),2),(x^(2),(1+x)^(2),0)|,-1ltxle1 , is a)1 b)-2 c)-1 d)0

The coefficient of x in f (x) = |{:(x , 1 + sin x , cos x ),(1 , log (1+x),2),(x^(2) , 1 + x^(2),0):}|, - 1 lt x le 1 , is

lim_(x rarr 0) (1+sinx-cosx+log_e(1-x))/x^2

Lim_(xrarr0)(1+sinx-cosx+ln(1-x))/(x.tan^(2)x)

Given f(x) =|{:(0,x^(2)-sinx,cosx-2),(sinx-x^(2),0,1-2x),(2-cosx,2x-1,0):}| intf(x) dx is equal to

The period of f(x)=(1)/(2){(| sinx|)/(cos x)+(|cosx|)/(sinx)} , is