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6 Nov 2019
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Suppose {xn} rightarrow 0 and each xn 0. Let yn = 1/xn. Prove that {yn} diverges. Suppose for a contradiction that {yn} converges. Then ( y R)({yn} rightarrow y). What must {xnyn} converge to? Show transcribed image text
Below is a hint to use to solve:
Suppose {xn} rightarrow 0 and each xn 0. Let yn = 1/xn. Prove that {yn} diverges. Suppose for a contradiction that {yn} converges. Then ( y R)({yn} rightarrow y). What must {xnyn} converge to?
Show transcribed image text