 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ib/paper-1/10g/c/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

For each

a > 1

n^{- x} \leq n^{- a}

[a, \infty)

and the p-series converges. The M-test gives locally uniform convergence there, so the sum

ζ

is continuous on

(1, \infty)

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