1
$\begingroup$

I have no idea how to evaluate this limit. Wolfram gives $0$, and I believe this, but I would like to see how it is done. The limit is

$$\lim_{n\rightarrow\infty}\frac{x^n}{(1+x)^{n-1}}$$

assuming $x$ is positive. Thanks in advance.

  • 0
    Hint: substitute $y=1+x$, now apply the binomial theorem and see the limit of individual terms.2011-11-10
  • 0
    @Dinesh, The binomial theorem? Sure about this? I see the wrong proof your *hint* may lead to...2011-11-10
  • 0
    @Didier Piau oops! you are right, I overlooked the coefficients :|2011-11-10

3 Answers 3