question archive 3) Provide a counterexample to show that the following statement is false: "If _ an converges then _ , lan also converges
3) Provide a counterexample to show that the following statement is false: "If _ an converges then _ , lan also converges
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3) Provide a counterexample to show that the following statement is false: "If _ an converges then _ , lan also converges." (Hint: It is enough to find a series which converges, but not absolutely. Remember there is a name for this kind of convergence. Once you know that, a simple google search, or browsing through the lecture notes, should give you an answer.)
