Question 15
C3 (CAN 5). Show that
$$\frac{1-s^a}{1-s}\le(1+s)^{a-1}$$
holds for every $1\ne s>0$ real and $0\lt a\le1$ rational.
$$\frac{1-s^a}{1-s}\le(1+s)^{a-1}$$
holds for every $1\ne s>0$ real and $0\lt a\le1$ rational.
IMO 1982 — Shortlisted Problems Question 15
IMO Shortlist · IMO 1982 — Shortlisted Problems