Question

limit n tends to infinity (logn/n)=?​

Answer 1

Answer:

0

Step-by-step explanation:

by using L-Hospital's rule

$\lim_{n \to \infty} (logn)/n$=$\lim_{n \to \infty}$$\frac{1/n}{1}$ (on differentiating)

                          =1/∞=0

hope this helps you

mark me as the brainliest

Answer 2

        This is in the indeterminate form  ∞ /∞ , so we can apply l'Hôpital's rule, which states that we can take the derivative of the numerator and denominator and then plug in  ∞  again to find the limit. Therefore

㏒ /n → ∞   ㏑ ( n ) /n = ㏒ /n → ∞   1 /n /1 = ㏒ /n → ∞  1/ n = 1 /∞ = 0

         We can also analyze this intuitively: the linear function  n  rises at a greater rate than the logarithmic function ㏒ ( n ) , so since the function that rises faster is in the denominator, the function will approach 0 .

        If the function had been flipped, we'd see that the limit as  n  approaches  ∞  in  n/ ㏒ ( n )