Evaluate`{:(" Lt"),(xrarrpi//2):}(cosx)/((x-(pi)/(2)))`

Evaluate {:(" Lt"),(xrarr0):}(1-cosx)/(x)

Evaluate {:(" Lt"),(xrarr0):}(x(e^(x)-1))/(1-cosx)

Evaluate Lt_(x to pi//2)(cos x)/((x - pi/2))

If l_(1)= Lt_(x to2^(+))(x+[x]),l_(2)=Lt_(x to 2^(-))(2x-[x]) and l_(3)=Lt_(x to pi//2)(cosx)/((x-(pi)/(2))) then

Evalute Lt_(xto pi/2)(1+cos2x)/((pi-2x)^(2))

Evalute 7Lt_(xto pi/2)(cotx-cosx)/((pi/2-x)^(3))

Statement-I : If Lt_(x to 0)f(x) exists, then Lt_(x to a)f(x)=Lt_(x to0)f(a+x)=Lt_(x to 0) f(a-x) Statement-II : Lt_(x to (pi)/(2))((cotx)/(x-(pi)/(2)))=1 which one of the following is correct

Lt_(x to (pi)/(4)) (cosx-sinx)/((pi)/(4)-x)=

Evaluate Lt_(x to pi/4)cotx .