" C-4.."lim_(n rarr oo)(int_((1)/(10))^(1/n)tan^(-1)(nx)dx)/(int_(1)^(1/n)sin^(-1)(nx)dx)" is equal to "

lim_(n to oo)(int_(1//(n+1))^(1//n)tan^(-1)(nx)dt)/(int_(1//(n+1))^(1//n)sin^(-1)(nx)dx) is equal to

lim_(n rarr oo)(n)/(2^(n))int_(0)^(2)x^(n)dx equals

If lim_(a rarr infty) (1)/(a)int_(0)^(infty)(x^(2)+ax+1)/(1+x^(4)). "tan"^(-1)((1)/(x))dx is equal to (pi^(2))/(K), where K in N, then K equals to

lim_(n rarr oo) ((4^(1/n)-1)/(3^(1/n)-1)) is equal to

lim_(n rarr oo) ((4^(1/n)-1)/(3^(1/n)-1)) is equal to

lim_ (n rarr oo) int_ (0) ^ (2) (1+ (t) / (n + 1)) ^ (n) d

lim_ (n rarr oo) (1) / ((n) ^ ((1) / (n))) is equal to