Question of the Day By Maths GrindsBy stephen / 07/01/2021 Prove that $e^a (b-a) < e^b – e^a < e^b(b-a)$ for all $a<b$ in $\mathbb{R}$. https://mathsgrinds.ie/wp-content/uploads/2021/01/2021-01-06_22-34-46.mp4