Question
In Exercises $125-126,$ use the definition of convergence to prove thegiven limit.$$\lim _{n \rightarrow \infty}\left(1-\frac{1}{n^{2}}\right)=1$$
Step 1
Step 1: We need to show that for any $\epsilon > 0$, there exists a natural number $N$ such that for all $n > N$, we have $|1 - \frac{1}{n^2} - 1| < \epsilon$. Show more…
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