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

(lim)_(x->oo)(x/(1+x))^x

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

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

lim_(x rarr oo) tan(1/x)/(1/x)

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

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

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

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

lim_(x rarr oo)(1+(3)/(x))^(x)