" 20.Find "lim_(alpha rarr0)(sin alpha^(n))/((sin alpha)^(m)),n>m>0

lim_(h rarr0)(sin h)/(h)

lim_(alpha rarr 0) (tan alpha- sin alpha)/alpha^3

lim_(x rarr0)[sin x]

lim_(h rarr0)h sin(1/h)

lim_(x rarr0)(sin alpha x)/(tan beta x)

lim_(x rarr0)x log(sin x)

lim_(x rarr0) (sin x)/(x)

Let m and n be two positive integers greater than 1. If lim_(alpha rarr0)(e^(cos alpha^(n))-e)/(alpha^(m))=-((e)/(2)) then the value of (m)/(n) is

lim_(x rarr0)(x)/(sin2x)

lim_(x rarr0)(x)/(sin2x)