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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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