`lim_(x->oo)((x+a)(x+b)^2(x+c)^3)/x^6`

lim_(x rarr oo)((x+a)(x+b)(x+c))^(1/3)-x

lim_(x rarr oo)((x+a)/(x+b))^(x+b)=

lim_(x rarr oo)((x-3)/(x+3))^(x+3)

lim_(xrarr oo) {3sqrt((x+a)(x+b)(x+c))-x}=

lim_(xrarr oo) {3sqrt((x+a)(x+b)(x+c))-x}=

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

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

If lim_(xtoa)f(x)=1 and lim_(xtoa)g(x)=oo then lim_(xtoa){f(x)}^(g(x))=e^(lim_(xtoa)(f(x)-1)g(x)) lim_(xto0)((a^(x)+b^(x)+c^(x))/3)^(2/x) is equal to a. a^(2//3)+b^(2//3)+c^(2//3) b. abc c. (abc)^(2//3) d. 1