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Steps for Radio test
Assume we have the series ∑an Define,
Then,
a. If L<1 the series is absolutely convergent and therefore convergent.
b. If L>1 the series is divergent.
c. If L = 1 the series might be divergent, this is conditionally convergent, or absolutely convergent.
(1) Prove that Zorn's lemma is equivalent to axiom of choice. (2) Use Zorn's Lemma to prove the existence of E.
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limit x APProaches infinity (1+1/x)x=e
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