“实数的十进位小数表示”与实数连续性等价

Decimals are Cominuity Propostition of Real Numbers

证明“实数的十进小数表示”与“单调有界数列必有极限”等价。从而也证明了“实数的十进小数表示”与实数连续性等价。

Decimal representation of real number 'equivalent to ' monotonic boundedsequence has limit 'was proved,and alsoproved' decimal representation of realnumber'equivalent to ' continuity proposition of real number '.