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

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

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

Evaluate the following limits using sandwich theorem: lim_(x rarr oo)(log_(e)x)/(x)

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

lim_(x rarr0)(log_(e)(1+x))/(x)

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

Evaluate lim_(x rarr0)(log_(e)x)/(x-1)

Which of the following true ({.} denotes the fractional part of the function)? lim_(x rarr oo)(log_(e)x)/({x})=oo( b) lim_(x rarr2^(+))(x)/(x^(2)-x-2)=oolim_(x rarr1^(-))(x)/(x^(2)-x-2)=-oo( d) lim_(x rarr oo)(log_(0)5x)/({x})=oo

Evaluate : lim_(x rarr e)(log_(e)x-1)/(x-1)

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