Give the formal ϵ\epsilonϵ-δ\deltaδ proof for limx→1(3x2−1)=2\lim_{x \to 1} (3x^2 - 1) = 2limx→1(3x2−1)=2. What is ∣(3x2−1)−2∣|(3x^2-1)-2|∣(3x2−1)−2∣ simplified?
3∣x−1∣∣x+1∣3|x-1||x+1|3∣x−1∣∣x+1∣
3∣x−1∣23|x-1|^23∣x−1∣2
∣x−1∣|x-1|∣x−1∣
6∣x−1∣6|x-1|6∣x−1∣