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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Summer 2016 • Question 1

Question

Math 6210 • Real Analysis Summer 2016 • Question 1

If \(f\in L^1(\lambda )\) then \[ \lim _{c\to 1}\int |f(cx)-f(x)|\,d\lambda =0. \]

Raw LaTeX

If \(f\in L^1(\lambda)\) then
\[
\lim_{c\to1}\int |f(cx)-f(x)|\,d\lambda=0.
\]

Topic Tags

Lebesgue Integration Lp Spaces and Sequence Spaces