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

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

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

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

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

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

Find the value of lim_(x rarr1)(x-1)/(2x^(2)-7x+5)

Find the value of lim_(x rarr0)(10^(x)-2^(x)-5^(x)+1)/(x^(2))

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

The value of lim_(xrarr0)((4^x-1)^3)/(sin.(x^2)/(4)log(1+3x)) ,is

If lim_(x rarr0)[1+x+(f(x))/(x)]^((1)/(x))=e^(3), then the value of ln(lim_(x rarr0)[1+(f(x))/(x)]^((1)/(x))) is