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

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

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

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)((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

Evaluate the following limit: (lim)_(x->oo)((3x-1)(4x-2))/((x+8)(x-1))

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

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

Evaluate the following limit: (lim)_(x->oo)(a^(1//x)-1)x

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