Waiting for answer This question has not been answered yet. You can hire a professional tutor to get the answer.
QUESTION
Let xn be a bounded sequence of real numbers. Show that xn has a convergent subsequence.
Let xn be a bounded sequence of real numbers. Show that xn has a convergent subsequence.
Answer:Given xn be a bounded sequence of real numbers, so there exist an interval [ a, b ] such thatan ﾣ xn ﾣ bn for all n . a+baSo, either 1 , 1 1 1 1 , b1...