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Limits & Continuityhard
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A sequence (an)(a_n)(an​) in R\mathbb{R}R is Cauchy if: for every ε>0\varepsilon > 0ε>0, ∃ N\exists\, N∃N such that ∣am−an∣<ε|a_m - a_n| < \varepsilon∣am​−an​∣<ε for all m,n>Nm, n > Nm,n>N. Which of the following statements are TRUE?