" lue of "Lt_(theta rarr0)((tan theta)/(theta))

Given that lim_(theta rarr 0) (sin theta)/theta = 1 and lim_(theta rarr 0) cos theta = 1 Evaluate lim_(theta rarr 0) (tan theta)/theta

lim_(theta rarr0)cot theta-csc theta

lim_(theta rarr0)((sin theta)/(sin((theta)/(2))))=2

Using L'Hospital 's rule prove that lim_(theta rarr 0) (theta-sintheta)/(theta^3)=1/6

Evaluate the following limit: (lim)_(theta rarr0)(s in4 theta)/(tan3 theta)

Evaluate the following limit: (lim)_(theta rarr0)(sin3 theta)/(tan2 theta)