Lecture 6 (Real Analysis 2020)

In the direct ε-N proof that 1/√n → 0, requiring 1/√n < ε is equivalent to requiring which condition on n?

1. A.1/n < √ε, found by taking a square root
2. B.1/n < 2ε, found by doubling both sides
3. C.1/n < ε/2, found by halving both sides
4. D.1/n < ε², found by squaring both sides