Moonlighting agony uncle Professor Dirichlet answers your personal problems. Want the Prof’s help? Send your problems to firstname.lastname@example.org.
This week’s problem sheet asks me to show that $\log(x) < x-1$ for all $x > 0$. To me this seems obviously true – a quick sketch backs it up as well. I think I’m supposed to use Taylor series or something but I’m not sure where to start. Can you help?