Page 1 of 1

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
by answerhappygod
 1
1 (31.63 KiB) Viewed 30 times
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.