" ) "Lim((1+x)^((1)/(m))-(1-x)^((1)/(m)))/((1+x)^((1)/(n))-(1-x)^((1)/(n)))=

lim_(x rarr0)(((1+x)^((1)/(m))-(1-x)^((1)/(m)))/((1+x)^((1)/(n))-(1-x)^((1)/(n))))

lim_(x rarr0)((2^(m)+x)^((1)/(m))-(2^(n)+x)^((1)/(n)))/(x) is equal to (1)/(m2^(m))-(1)/(n2^(n)) (b) (1)/(m2^(m))+(1)/(n2^(n))(1)/(m2^(-m))-(1)/(n2^(-n))( d) (1)/(m2^(-m))+(1)/(n2^(-n))

Differential coefficient of (x^((l+m)/(m-n)))^(1/(n-l))*(x^((m+n)/(n-l)))^(1/(l-m))*(x^((n+l)/(l-m)))^(1/(m-n)) wrt x is

Show that: (a+(1)/(b))^(m)x(a-(1)/(b))^(n)(b+(1)/(a))^(m)x(b-(1)/(a))^(n)=((a)/(b))^(m+n)

lim_ (x rarr oo) ((1 ^ ((1) / (x)) + 2 ^ ((1) / (x)) + 3 ^ ((1) / (x)) ++ n ^ ((1 ) / (x))) / (n)) ^ (nx), n in N

Differential coefficient of (x^((l+m)/(m-n)))^(1//(n-l))*(x^((m+n)/(n-l)))^(1//(l-m))*(x^((n+l)/(l-m)))^(1//(m-n)) wrt x is

Differential coefficient of (x^((l+m)/(m-n)))^(1//(n-l))*(x^((m+n)/(n-l)))^(1//(l-m))*(x^((n+l)/(l-m)))^(1//(m-n)) wrt x is

Differential coefficient of (x^((l+m)/(m-n)))^(1//(n-l))*(x^((m+n)/(n-l)))^(1//(l-m))*(x^((n+l)/(l-m)))^(1//(m-n)) wrt x is

Differential coefficient of (x^((l + m)/(m - n)))^(1/(n-1)).(x^((m +n)/(n -1)))^(1/(l - m)).(x^((n + 1)/(l - m)))^(1/(m -n)) w.r.t x is