Problem 219 (difficulty: 4/10)

Let \(\displaystyle a_k\ne0\) and \(\displaystyle p(x)=a_0 +a_1 x+\ldots + a_k x^k\). Prove that

\(\displaystyle \lim\limits_{n\to +\infty}\frac{p(n+1)}{p(n)}=1. \)

Solution-->

Give me another random problem!