Thread: Convergence 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?

Originally Posted by roshanhero

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?

Pick . Thus, for ,

How do we pick N=1/epsilon

Do you understand what "pick" means?? You just say "if then ..."