lim(x tends to a) cosx - cosa/cotx - cota - Maths - Limits and Derivatives

Question

lim(x tends to a) cosx - cosa/cotx - cota

Varun.Rawat · Accepted Answer

limx→a cos x - cos acot x - cot a=limx→a - sin x - 0- cosec2x - 0    L'Hopital's rule=limx→a sin xcosec2x=limx→a sin3x=sin3a