linguistic:paraphrasing
Growth rate

These numbers grow very slowly, with logarithmic growth, as can be seen from the integral test. More precisely, by the Euler–Maclaurin formula, H n = ln n + γ + 1 2 n − ε n {\displaystyle H_{n}=\ln n+\gamma +{\frac {1}{2n}}-\varepsilon _{n}} where γ ≈ 0.5772 {\displaystyle \gamma \approx 0.5772} is the Euler–Mascheroni constant and 0 ≤ ε n ≤ 1 / 8 n 2 {\displaystyle 0\leq \varepsilon _{n}\leq 1/8n^{2}} which approaches 0 as n {\displaystyle n} goes to infinity.