`lim_(x rarr oo)(x(log x)^(3))/(1+x+x^(2))`

lim_(x rarr oo){((log x)^(3))/(x)}

lim_(x rarr oo)((log x)/(x))^(1/x)

lim_(x rarr oo)((log x)/(x^(n)))

7. lim_(x rarr0)(x(log x)^(2))/(1+x+x^(2))

lim_(x rarr oo)(log(1+x))/(x)

lim_(xrarr0)(x^3 log x)

lim_(x rarr oo)e^(-x)x^(2)

lim_(x -> oo)(x(log(x)^3)/(1+x+x^2)) equals 0 (b) -1 (c) 1 (d) none of these

Let a= lim _(x rarr 1) (x/(lnx)-1/(xln x)), b = lim _(x rarr 0) ((x^(3)-16x)/(4x+x^(2))), c= lim _(x rarr 1) ((ln(1+sinx))/x) & d = lim _(x rarr -1) ((x+1)^(3))/([sin (x+1) - (x+1)]) Then [[a,b],[c,d]] is

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