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
Posted: Thu Jul 14, 2022 4:08 pm
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→0limf(x) exists? Explain why.