I am trying to find$$\lim_{n\to\infty}{n\left(\ln(n+2)-\ln n\right)}$$
But I can't figure out any good way to solve this.
Is there a special theorem or method to solve such limits?
Answer
Why not elementary? $n(\ln(n+2)-\ln n)=\ln(\frac{n+2}{n})^n=\ln(1+\frac{2}{n})^n \to \ln e^2=2$
No comments:
Post a Comment