1. The problem statement, all variables and given/known data Prove that lim x→1 of x2 does not equal 1+10-10. You could use a proof by contradiction. (It is question 2.b here) 2. Relevant equations δ-ε proofs! 3. The attempt at a solution Given ε > 0, there is some number δ > 0 such that if: |x - a | < δ |x - 0 | < δ |x| < δ Then: | f(x) - L | < ε | x2 - 1+10-10 | < ε ...and here's where I get stuck. Delta-epsilon proofs always seemed a bit circular to me, and what confuses me about proving "by contradiction" here is the fact that I should be able to choose some δ and the limit WOULD approach 1+10-10 :s... I'm a bit lost on where to go from here!