Question 1197595
.


(1)    I am glad to see that after my notice you posted a fixed version.


            This time, it is in correct mathematical form, so I will help you.



(2)    If you take logarithm of both sides of your equation,  you will see that your statement is equivalent to this one

    
            lim {{{ln(x)/x}}} = 0    as x --> infinity.



(3)    This last statement is proven under this link


            https://www.youtube.com/watch?v=QCAax866If4        


            (youtube video-lesson)  without using the  L'Hospital rule.



Have fun  ( ! )