I have tried using the ratio lemma to tackle this question and also the fact $(n+1)^k \geq 1 + nk$ and I haven't reached an answer. How should I go about solving this problem?
Find the limit of the sequence $ \frac{x^n}{n^k}$ as $n \to \infty$ for all values of$ x > $0 and $k = 1, 2,\cdots$
$\begingroup$
sequences-and-series
limits
analysis
exponentiation
ratio