Basic Analysis I — Real Analysis · Problem 6.3.2

Sequences of Functions — Jiri Lebl

Mathematics — Real Analysis · continuous-function-bounded-on-rectangle

Problem

Let I,J⊂RI, J \subset \mathbb{R} be closed bounded intervals. Show that if F:I×J→RF : I \times J \to \mathbb{R} is continuous, then FF is bounded.

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