The harmonic number H n {\displaystyle H_{n}} with n = ⌊ x ⌋ {\displaystyle n=\lfloor x\rfloor } (red line) with its asymptotic limit γ + ln ⁡ ( x ) {\displaystyle \gamma +\ln(x)} (blue line) where γ {\displaystyle \gamma } is the Euler–Mascheroni constant.