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

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

lim_(theta rarr(pi)/(4))(1-tan theta)/(1-sqrt(2)sin theta)

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

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

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

lim_(theta rarr(pi)/(6))((sin(theta-(pi)/(6)))/(sqrt(3)-2cos theta)