`Lim_(x->oo)(1+2+3+.....+x)/x^2`

lim_(x->oo)(x^2 - sinx)/(x^2-2)

If lim_(x -> oo) (1 + a/x + b/x^2)^(2x)= e^2 then the values of a and b, are

Find the value of lim_(x->oo)(2-1/x+4/x^2)

lim_(x->oo) xsin(2/x)

lim_(x->oo) ((x^2-2x+1)/(x^2-4x+2))^x is equal to

Evaluate the following limits : Lim_(n to oo) (1+2+3+...+n)/(n^(2)) ( or Lim_(x to oo) (Sigman)/(n^(2)))

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

lim_(x->oo){(1^2)/(1-x^3)+3/(1+x^2)+(5^2)/(1-x^3)+7/(1+x^2)+....) is equal to

If lim_(x->oo) f(x) exists and is finite and nonzero and if lim_(x->oo) {f(x)+(3f(x)−1)/(f^2(x))}=3 ,then the value of lim_(x->oo) f(x) is

Let f(x)=x+sqrt(x^2+2x) and g(x)=sqrt(x^2+2x-x) , then which of the following is/are true. a. lim_(x->oo)g(x)=1 b. lim_(x->oo)f(x)=1 c. lim_(x->oo)f(x)=-1 d. lim_(x->oo)g(x)=-1