a Prove that the limit of a function at a point is unique or does not exist. b Give an ϵ−δ definition of a sequence conv

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answerhappygod
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a Prove that the limit of a function at a point is unique or does not exist. b Give an ϵ−δ definition of a sequence conv

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a Prove that the limit of a function at a point is unique or does not exist. b Give an ϵ−δ definition of a sequence converging to −∞. c Assume ∀(xn​)→0∀ϵ>0∃N∈N∀r,s>n∣f(xr​)−f(xs​)∣<ϵ. Is it true that x→0lim​f(x) exists? Explain why.
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