Answer to Question #159447 in Calculus for Vishal

Question #159447

Prove that a non-decreasing (resp. non-increasing) sequence which is not bounded above (resp. bounded below) diverges to +∞ (resp. to −∞)


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Expert's answer
2021-02-02T05:00:26-0500

If a non-decreasing sequence which is not bounded above, then for each value C>0C>0 there exists ana_n such that an>Ca_n>C . So, for C+C\to+\infin there exists an>Ca_n>C . That is, (an)+(a_n)\to+\infin


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