`2{(m-n)/(m+n)+1/3((m-n)/(m+n))^(3)+1/5((m-n)/(m+n))^(5)`+..}` is equals to

The value of (2^(m+1).3^(2m-n).5^(m+n).6^(n))/(6^m.10^(n+2).15^(m)) is equal to

If (m+n)/(m-n)=7/3 then (m^2-n^2)/(m^2+n^2)=

m^(3)-n^(3)-m(m^(2)-n^(2))+n(m-n)^(2)

If m, n in N , then l_(m n) = int_(0)^(1) x^(m) (1-x)^(n) dx 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))

lim_(n to oo){(1^(m)+2^(m)+3^(m)+...+ n^(m))/(n^(m+1))} equals

For any non-zero integers 'a' and 'b" and whole numbers m and n. a^(m) xx a^(n) = a^(m+n) a^(m) =a^(n), a gt 0 rArr m=n a^(m) ÷ a^(n)=a^(m-n) 2^(3) + 2^(3) + 2^(3) +2^(3) is equal to:

lim_(n rarr oo) {(1^(m)+2^(m)+3^(m)+…….+n^(m))/(n^(m+1))} equals

If m: n = 3:7 , then (6m – 2n) : (5m + 3n) is equal to