" 16."lim_(a rarr(5)/(2))(2 theta-pi)/(cos theta)

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

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

the value of lim_(x rarr(pi)/(2))(sec theta-tan theta)

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

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

If m=(lim_(theta rarr(pi)/(4))(((sin theta+cos theta)^(3)-2sqrt(2))/(1-sin2 theta))) then the value of m is

The value of lim_(theta rarr(pi)/(2))(sec theta-tan theta) equals

Let l=lim_(theta rarr0)(sin^(3)theta -tan^(3)theta)/(theta^(5)) and m=lim_(theta rarr(pi)/(4))(((sin theta+cos theta)^(3)-2sqrt(2))/(1-sin2 theta)) .Find the value of [l^(2)+m^(2)] (where [x] denotes largest integer less than or equal to

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

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