lim_(theta rarr pi/4)(sqrt(2)-cos theta-sin theta)/((4 theta-pi)^(2))

lim_(theta rarr pi)((sqrt(2)-cos theta-sin theta)/((4 theta-pi)^(2))

lim_(theta rarr pi/2)(sec theta-tan theta)/(pi-2 theta)

lim_(theta rarr(pi)/(2))(sec theta-tan theta)/(pi-2 theta)

Putting x = theta- (pi) / (4) prove that lim_ (theta rarr (pi) / (4)) (sin theta-cos theta) / (theta- (pi) / (4)) = sqrt (2)

lim_(theta rarr(pi)/(6))(4cos^(2)theta-3)/(2sin theta-1)

lim_(theta rarr pi/2) (pi/2- theta)/(cot theta) =

lim_(0 rarr pi/4) (sin theta. cos theta)/(theta-pi/4)=

lim_(theta rarr 0) (4 theta(tan theta-sin theta))/(1-cos 2 theta)^2 is

lim_(theta rarr pi/2) (1-sin theta )/((pi/2 - theta) cos theta)=