Question
Using the definition of limit, prove that $\lim _{n \rightarrow \infty} n /(n+1)$ $=1 ;$ that is, for a given $\varepsilon>0,$ find $N$ such that $n \geq N \Rightarrow|n /(n+1)-1|<\varepsilon$
Step 1
This simplifies to $|n/(n+1) - n/(n+1) + 1/(n+1)|$. Show more…
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