Is there a proof that π is an irrational number?
Is there a proof that is an irrational number?
Answer & Explanation
then integrate by parts to show that for
Use induction to show that for positive integer we have
where and are polynomials of degree less than in with integral coefficients.
Show that if , where and are integers, then
would be an integer.
which results in contradiction since is supposed to be an integer but we can show that it is as small as one desires.