" (4) "lim_(x rarr oo)(log x^(n)-[x])/([x]),n in N

lim_(x rarr oo)(log x^(n)-[x])/([x]),n in N,quad

Lt_(x rarr oo)(log x^(n)-[x])/([x])=

lim_(x rarr oo) (logx^(n)-[x])/([x]) , where n in N and [.] denotes the greatest integer function, is

lim_(x rarr o+)(log x^(n)-[x])/([x]), n being a natural number and [x] denotes greatest integer function.

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

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

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

lim_(x rarr oo)x(log(x+1)-log x)=

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

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