# Proof of the Hardy-Littlewood Tauberian theorem

Can someone point me to a proof of the Hardy-Littlewood Tauberian theorem, that is suitable enough to be shown to high school students? (with knowledge of calculus, sequences and series of course)

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Why should high-school students bother about Tauberian theorems? Ask 100 professional mathematicians what Tauberian theorems are all about, and you will get $\leq1$ usable response. –  Christian Blatter Sep 4 '12 at 14:45