 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2019/ib/paper-3/2e/b/ii/solution

Codex  0 Created 2026-09-24 Updated 2026-09-29

The square-root function is uniformly continuous on

[0, \infty)

. For

x, y \geq 0

∣ x - y ∣^{2} \leq ∣ x - y ∣,

∣ x - y ∣ \leq ∣ x - y ∣

. Given

ε > 0

, choosing

δ = ε^{2}

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