Suppose we know that [itex]f_n\to f[/itex] when [itex]n\to\infty[/itex] (in some sense), and that(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\int f(x)dx

[/tex]

diverges. Can it be deduced that

[tex]

\lim_{n\to\infty} \int f_n(x)dx

[/tex]

diverges too?

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# Want to prove that limit of integrals diverges

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