`underset(ntooo)limn^(2)(x^(1//n)-x^(1//(n+1))),xgt0,` is equal to

lim_(ntooo) n^(2)(x^(1//n)-x^(1//(n+1))),xgt0, is equal to

If 1+x^(2)=sqrt(3)x , then sum_(n=1)^(24)(x^(n)-(1)/(x^n))^(2) is equal to

("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))

lim_(x->0)((1^x+2^x+...........+n^x)/n)^(1/x) is equal to

If x^2!=n pi-1, n in N . Then, the value of int x sqrt((2sin(x^2+1)-sin2(x^2+1))/(2sin(x^2+1)+sin2(x^2+1)))dx is equal to:

If x^2!=n pi-1, n in N . Then, the value of int x sqrt((2sin(x^2+1)-sin2(x^2+1))/(2sin(x^2+1)+sin2(x^2+1)))dx is equal to:

The value of lim_(ntooo)(e^(n))/((1+(1)/(n))^(n^(2))) is

lim_(nrarroo) (1-x+x.root n e)^(n) is equal to

Solve cot^(-1)x-cot^(-1)(x+2)=(pi)/(2),xgt0

lim_(n rarr 0)(1/(1+n^(2))+2/(1+n^(2))+3/(1+n^(2))+....+n/(1+n^(2))) is equal to