Evaluate: `lim_(theta rarr 0) "cot" theta - "cosec" theta`.

Evaluate lim_(theta rarr 0) (1-cos 4theta)/(1-cos 5theta)

lim_(theta rarr0)cot theta-csc theta

lim_(theta rarr 0) ("cosec" theta - cot theta)/(theta) is :

Given that lim_(theta rarr 0) (sin theta)/theta = 1 and lim_(theta rarr 0) cos theta = 1 Evaluate lim_(theta rarr pi/2) (cot theta)/(pi/2 - theta)

lim_(theta rarr 0) (1-cos theta)/(theta. costheta)=

lim_(theta rarr 0) (1-cos theta)/(theta sin theta) =

lim_(theta rarr 0)(sin 5 theta - sin 3 theta)/(theta)=

lim_(theta rarr 0)(tan theta - sin theta)/(theta^(3))=

lim_(theta rarr0)(1-cos theta)/(sin^(2)2 theta)

Evaluate lim_(x rarr 0) (cosec x - cot x)