Prove that the sequence {1+1/n} converges to 1 as n tends to infinity. I used the limit of {1+1/n} as n tends to infinity and got the answer,but I want to prove it by the formal definition. How can we do that?

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- Sep 21st 2009, 07:52 PMroshanheroConvergence of sequence
Prove that the sequence {1+1/n} converges to 1 as n tends to infinity. I used the limit of {1+1/n} as n tends to infinity and got the answer,but I want to prove it by the formal definition. How can we do that?

- Sep 21st 2009, 08:12 PMredsoxfan325
- Sep 22nd 2009, 11:20 PMroshanhero
How do we pick N=1/epsilon

- Sep 23rd 2009, 05:33 AMHallsofIvy
Do you understand what "pick" means?? You just say "if $\displaystyle N> 1/\epsilon$ then ..."