Find `lim_(x->oo) (1+x)(2/x)`

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

lim_(x->oo)sin(1/x)/(1/x)

lim_(x->oo) (sinx/x) =

lim_(x->oo) (x-sqrt(x^2+x))

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

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

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

Evaluate: lim_(x->oo) (x+7sinx)/(-2x+13) using sandwich theorem.

lim_(x->oo)((1^(1/x) +2^(1/x) +3^(1/x) +...+n^(1/x))/n)^(nx) is equal to

lim_(xto oo)(x/(1+x))^(x) is