5.Find the value of `lim_(x->0) log(1+x)/(x)`

Find the value of lim_(x->0) log(1+x)/(4^(x)-1)=

If 0ltlog_(e)xltsqrt(x) for all xlt1, then find the value of lim_(xtooo) (log_(e)x)/(x).

(7) Find the value of lim_(x->0) ((e^(x)-1) log(1+x))/(x^(2))

Find the value of lim_(x rarr0)(ln(1+{x}))/({x}) where {x} denotes the fractional part of x .

Find the value of lim_(x->0)(7^(x)-1)^(2)/(x log(1+x))

Find the value of lim_(xto0^(+)) (3(log_(e)x)^(2)+5log_(e)x+6)/(1+(log_(e)x)^(2)).

Find the value of |(lim_( x to 1) (x^x-1)/(x log x )) /( lim_( xto0) (log (1-3x))/x)|

If lim_(xto0) [1+x+(f(x))/(x)]^(1//x)=e^(3) , then the value of ln(lim_(xto0) [1+(f(x))/(x)]^(1//x)) is _________.

lim_(x rarr0)(log(1+x))/(x)=1

Evaluate: lim_(x rarr0)(log cos x)/(x)