1. Prove: For every ε > 0, there exists a δ > 0 such that 2 – δ 2. Prove: For every ε > 0, there exists a δ > 0 such that 1 – δ 3. Prove: There exists a real number x such that for every real number...

1. Prove: For every ε > 0, there exists a δ > 0 such that 2 – δ <><><><>

2. Prove: For every ε > 0, there exists a δ > 0 such that 1 – δ <><><><>

3. Prove: There exists a real number x such that for every real number y, we have xy = y.

4. Prove: There exists a real number x such that for every real number y, we have xy = x.