Basic Analysis I — Real Analysis · Problem 6.2.4

Sequences of Functions — Jiri Lebl

Mathematics — Real Analysis · limit-of-integral-exponential

Problem

Show lim⁡n→∞∫12e−nx2 dx=0\displaystyle\lim_{n \to \infty} \int_1^2 e^{-nx^2}\, dx = 0. Feel free to use calculus facts about the exponential.

Related theory

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