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Question

Math 6210 • Real Analysis

Summer 2016 • Question 3

Show that if \(f\in L^1\), then \[ \lim _{x\to \infty }\mathcal F(f)(x)=0. \]

Raw LaTeX

Show that if \(f\in L^1\), then
\[
\lim_{x\to\infty}\mathcal F(f)(x)=0.
\]