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You are free:

• to share – to copy, distribute and transmit the work
• to remix – to adapt the work

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https://creativecommons.org/licenses/by-sa/4.0CC BY-SA 4.0 Creative Commons Attribution-Share Alike 4.0 truetrue

R source:

n <- 50
k <- 1:n
Hk <- cumsum(1/k)

svg(point=16)
old.par <- par(mar=c(5.1,4.1,1.1,1.1))
plot(k, Hk, col="red", pch=20, ylim=c(0,5), ylab=expression(H[k]))
curve(log(x) - digamma(1), lty=2, add=TRUE)
curve(log(x) + 1, lty= 2, add=TRUE)
par(old.par)
dev.off()