Lt(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

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

Evaluate lim_(xrarra)((x^(m)-a^(m))/(x^(n)-a^(n))).

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

If f(x)=((x^(l))/(x^(m)))^(l+m)((x^(m))/(x^(n)))^(m+n)((x^(n))/(x^(l)))^(n+l) then f'(x)

A function f is defined by f(x)=|x|^m|x-1|^nAAx in Rdot The local maximum value of the function is (m ,n in N), 1 (b) m^nn^m (m^m n^n)/((m+n)^(m+n)) (d) ((m n)^(m n))/((m+n)^(m+n))

Let m and n be positive integers and x,y gt 0 and x+y =k, where k is constant. Let f (x,y) = x ^(m)y ^(n), then: (a) f (x,y) is maximum when x= (mk)/(m+n) (b) f (x,y) is maximuim where x =y (c) maximum value of f (x,y) is (m^(n)n ^(m) k ^(m+n))/((m+n)^(m+n)) (d) maximum value of f (x,y) is (k ^(m+n) m ^(m)n ^(n))/((m+n)^(m+n))

((x^(m))/(x^(n)))^(m+n)*((x^(n))/(x^(l)))^(n+l)*((x^(l))/(x^(m)))^(l+m)