2.3 The Bolzano-Weierstrass Theorem 1. You only need to prove that {xn } has a convergent subsequence,

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2.3 The Bolzano-Weierstrass Theorem 1. You only need to prove that {xn } has a convergent subsequence, not actually find it.

4. See Exercise 4a in Section 1.2 5. Prove that x ~ v'2x + 3 for -3/2 ~ x ~ 3.

6. See Exercise 4b in Section 1.2.

8. Prove that {xn } is monotone.

9.

(a) See Exercise 5c in Section 1.1.

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