[微積] 極限
Let c be a real number.
Suppose that there exist seqiences of integers
{p_n} and {q_n} and a sequence of real number {r_n}
such that
(a) lim r_n=0
n->00
(b) 0< |p_n-c*q_n|<r_n, n>=1
show that c must be a irrational number
想問的是題目有沒有出錯, c應該要市 rational number.
又如果是rational number, 要如何證呢?
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