Assuming that the interchange of limit and integration is permissible, the value of `lim_(n->oo)int_0^1(nx^(n-1))/(1+x)dx` ; `0

Assuming that the interchange of limit and integration is permissible,the value of lim_(n rarr oo)int_(0)^(1)(nx^(n-1))/(1+x)dx;^(@)0

The value of lim_(x->oo)(int_0^x(tan^(-1)x)^2)/(sqrt(x^2+1))dx

The value of lim_(x->oo)(1+1/x^n)^x,n>0 is

The value of lim_(x rarr oo)(x^(n)+nx^(n-1)+1)/(e^(|x|)),n in1 is

The value of the integral int_0^1 x(1-x)^n dx=

The value of lim_(x rarr oo)(1+(1)/(x^(n)))^(x),n>0 is

The value of the integral int_(0)^(oo)(1)/(1+x^(4))dx is

The value of the integral int_(0)^(1) x(1-x)^(n)dx is -