Problem 6

Due in DSC 203 by 3 PM, Friday February 16, 2001

Let a be a positive number. Prove that the inequality

$$a^x\geq x+1\qquad \forall x\in \mathbb{R}$$

is true if and only if a=e.

Solutions, questions and/or comments should be directed to Judy Downey or Griff Elder

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Last modified:   Thu Feb 8 21:39:51 CST 2001