`lim_[x->1](lim_(n->oo)[n^2[x^[1/n]-x^[1/[n+1]] ]/[x^3-1]])`

lim_(x->oo)(1-x+x.e^(1/n))^n

Evaluate: Lim_(n rarr oo)[[1,x/n],[-x/n,1]]^(n)

lim_(n rarr oo)([x]+[3x]+[5x]+[(2n-1)x])/(n^(2))

lim_(n rarr oo)(1+(x)/(n))^(n)

let f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n)+1)

If f(x) = lim_(n->oo) tan^(-1) (4n^2(1-cos(x/n))) and g(x) = lim_(n->oo) n^2/2 ln cos(2x/n) then lim_(x->0) (e^(-2g(x)) -e^(f(x)))/(x^6) equals

Discuss the continuity of f(x)=(lim)_(n->oo)(x^(2n)-1)/(x^(2n)+1)

Discuss the continuity of f(x)=(lim)_(n->oo)(x^(2n)-1)/(x^(2n)+1)

lim_(x rarr oo)(n+1)/(2n^(2)+n-1)

If x_(n+1)=sqrt((1+x_n)/2) and |x_0|lt1 , n in W then lim_(n->oo)sqrt(1-x_0^2)/(x_1x_2x_3...x_(n+1)) =