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USE MATHEMATICAL INDUCTION TO PROVE THAT
(n+1)^n < 2n^2 for all natural numbers
n >= 3
~~~~~~~~~~~~~~~
The statement is wrong:
at n = 3: the left side is = = 64,
the right side is = 2*9 = 18.
Even if to read the right side as , then at n= 3 this expression is = = 36.
