If x is nearly equal to 1,the `(m x^m-n x^n)/(m-n)=`

If x is nearly equal to 1, then: (mx^(m)-nx^(n))/(m-n) equals:

If x is nearly equal to 1 then find the value of (mx^m - nx^n)/(m- n)

Show that the coefficients of x^(m) and x^(n) are equal to the expansion of (1+x)^(m+n) .

if y= x^m then Y n is equal to: (A) frac{m!}{m-n!} x^(m-n) (B) frac{m!}{n-m!} x^(m-n) (C) frac{n!}{m+n!} x^(m+n) (D) frac{n!}{n-m!} x^(m-n)

x^(m)-:x^(n) is equal to:

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))

If f(x)=((x^l)/(x^m))^(l+m)((x^m)/(x^n))^(m+n)((x^n)/(x^l))^(n+l) , then f^(prime)(x) is equal to (a) 1 (b) 0 (c) x^(l+m+n) (d) none of these

If f(x)=((x^(l))/(x^(m)))^(l+m)((x^(m))/(x^(n)))^(m+n)((x^(n))/(x^(l)))^(n+l) then f'(x) is equal to (a) 1 (b) 0 (c) x^(l+m+n) (d) none of these

("lim")_(xto0)((2^m+x)^(1/m)-(2^n+x)^(1/n))/x is equal t o (a) 2 (1/(m2^m)-1/(n2^n))' (b) (1/(m2^m)+1/(n2^n)) (c) 1/(m2^(-m))-1/(n2^(-n)) (d) 1/(m2^(-m))+1/(n2^(-n))