Proof: Sequence (n+1)/n Converges to 1 | Real Analysis

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We will prove the sequence (n+1)/n converges to 1. In other words, we're proving that the limit of (n+1)/n as n approaches infinity is 1. We use the epsilon definition of a convergent sequence and the proof is straightforward, following the typical form of a convergent sequence proof.

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I’m taking real analysis this semester and these videos are really helping me.

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Thanks so much. With your help I was able to do my first epsilon proof all by myself. (Watched the video after doing the question)

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The best real analysis channel on the internet

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Me in class: "I am gonna fail".

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Can any one tell me why is this nessasry for Computer Science, as in how it connects together?

alex
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Couldn’t we just do lhopital rule and basic limits

vegetasaiyan
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How did you bring the -1 into the fraction to make n😢

ekow_acq
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Hi, im strugling a bit i dont really understand why its (n>N>1/Ɛ) instead of (n>1/Ɛ>N), can someone pls helpme ?

zherox