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Prove that $(1 + \frac{1}{n})^n \leq e < 3$.
Which is larger:
(a) $1.000001^{1000000}$ or $2$?
(b) $100^{300}$ or $300!$ (i.e. 300 factorial)?
Growing
Age 16 to 18
Challenge Level 
Prove that $(1 + \frac{1}{n})^n \leq e < 3$.
Which is larger:
(a) $1.000001^{1000000}$ or $2$?
(b) $100^{300}$ or $300!$ (i.e. 300 factorial)?
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