CMI-2020-DataScience-A: 20

Question

Which of the following inequalities are true?

• A. $e^x\geq(1+x)$ for $x\geq 0$
• B. $e^x\leq(1+x)$ for $x<0$
• C. $\text{In}(x)<(1+x)$ for $x>0$
• D. $e^x<x^2$ for all real numbers $x$

Answer 1