Recently I am trying to understand Dr. Niven's proof that $\pi$ is an irrational number.
In the beginning of his proof, he constructed a polynomial -- $f(x) = \frac{x^{n}(a - bx)^{n}}{n!}$.
So I wondered that why did he constructed it this way?
2026-03-28 16:04:39.1774713879
How did Dr. Niven constructed the polynomial in his proof that $\pi$ was irrational
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