Prove that $\lim_{n \to \infty} \frac{1}{n^2} = 0$ using the formal definition of limit.
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The formal definition of a limit states that for a sequence {a_n} to converge to a limit L as n approaches infinity, for every ε > 0, there exists an N such that for all n > N, |a_n - L| < ε. Show more…
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