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

If (x^2+x−2)/(x+3) -1) f(x) then find the value of lim_(x->-1) f(x)

Find the value of lim _(x to oo) (x+(1)/(x))e ^(1//x)-x.

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

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

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

find the value of lim_(x to oo) 48x (pi/4 - tan^(-1) ((x+1)/(x+2)))

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

The value of lim_(x->oo)(pi/2-tan^(- 1)x)^(1/x^2), is

The value of lim_(x->oo)(((x-1)(x-2)(x+3)(x+10)(x+15))^(1/5)-x) is ....

Evaluate: ("lim")_(x-oo)x^(1/x)