grandes-ecoles 2024 Q19a

grandes-ecoles · France · polytechnique-maths-a__mp Sequences and Series Asymptotic Equivalents and Growth Estimates for Sequences/Series

By comparison with an integral, establish that $$\sum_{k=1}^{n} \ln(k) \underset{n \rightarrow +\infty}{=} n\ln(n) - n + O(\ln(n))$$

By comparison with an integral, establish that
$$\sum_{k=1}^{n} \ln(k) \underset{n \rightarrow +\infty}{=} n\ln(n) - n + O(\ln(n))$$