Q. `Lim_(theta->pi/2)[(theta-pi/2)/cos theta]`, [where denotes the greatest integer function] is

Q.lim_(theta rarr(pi)/(2))[(theta-(pi)/(2))/(cos theta)], Iwhere denotes the greatest integer functionl is

lim_(xrarr pi//2)([x/2])/(log_e(sinx)) (where [.] denotes the greatest integer function)

lim_ (theta-> 0) ([(nsintheta) / theta] + [(ntantheta) / theta]) where [] represents the greatest integer function

The number of solutions of the equations y=1/3[sin theta+[sin theta +[sin theta]]] and [y+[y]]=2 cos theta [ where , [.] denote the greatest integer function ] is/are

The number of solutions of the equations y=1/3[sin theta+[sin theta +[sin theta]]] and [y+[y]]=2 cos theta [ where , [.] denote the greatest integer function ] is/are

The number of solutions of the equations y=1/3[sin theta+[sin theta +[sin theta]]] and [y+[y]]=2 cos theta [ where , [.] denote the greatest integer function ] is/are

The number of solutions of the equations y=1/3[sin theta+[sin theta +[sin theta]]] and [y+[y]]=2 cos theta [ where , [.] denote the greatest integer function ] is/are

if f(n,theta)=prod_(r=1)^(n) (1-tan^(2)(theta)/(2^(r))) then the value of lim_(thetato0) [lim_(ntoinfty) f(n,theta)] , (where [x] represent the greatest integer function) is

Evaluate lim_(x rarr(pi pi)/(4))[sin x+cos x], where [.] denotes the greatest integer function.

If I_(1)=int_(0)^(1)(dx)/(e^(x)(1+x)) and I_(2)=int_(0)^( pi/2)(e^(sin^(2)theta)sin theta cos theta d theta)/((2-sin^(2)theta)) then (where [ .] denotes greatest integer function)