9
$\begingroup$

I am trying to find the limit of:

$$\lim_{n \to \infty} n(\sqrt[n]{2} - 1)$$

I know it should be very simple but I don't seem to get it. Thanks in advance for any help!

  • 0
    Just remember to put in $\LaTeX$ in between dollar signs on this website.2012-09-13
  • 0
    Maple says ln(2)2012-09-13
  • 6
    Youu can rewrite your expression $$\frac{2^{1/n}-1}{1/n}$$. Then it comes easily.2012-09-13

5 Answers 5