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Mathematics, 22.10.2019 22:00 kenleighbrooke67

Exercise 3.4.10: a) find a continuous f : (0,1) → r and a sequence {xn} in (0,1) that is cauchy, but such that { f(xn)} is not cauchy. b) prove that if f : r → r is continuous, and {xn} is cauchy, then { f(xn)} is cauchy.

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Exercise 3.4.10: a) find a continuous f : (0,1) → r and a sequence {xn} in (0,1) that is cauchy, b...
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