underset x rarr aLt(x^(m)-a^(m))/(x^(n)-a^(n))=

lim_(x rarr a)(x^(m)-a^(m))/(x^(n)-a^(n))=((m)/(n))a^(m-n) if m>n

Evaluate: lim_(x rarr a) [(x^(n)-a^(n))/(x^(m)-a^(m))] .

Let underset( x rarr a )("Lim") ( x^(x) - a^(x))/( x-a) = l , a gt0 & underset( x rarr a) ( "Lim") ( a^(x)- x^(a))/( x-a)= m , a gt 0 and If l = m then find the value of 'a' .

If underset(x rarr 3)lim (x^(n) - 3^(n))/(x-3) = 27n , then the value of n is -

lim_(x to a) (x^(m)-a^(m))/(x^(n)-a^(n)) is equal to