Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexample. a. n!n! = (2n)!, for all positive integers n. (2n)! b. = 2n. (2л — 1)! c. If lim Vla , then 10a, converges absolutely. d. The Ratio Test is always inconclusive when applied to Eaz. where a, is a nonzero rational function of k.

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Explain why or why not Determine whether the following state-
ments are true and give an explanation or counterexample.
a. n!n! = (2n)!, for all positive integers n.
(2n)!
b.
= 2n.
(2л — 1)!
c. If lim Vla
, then 10a, converges absolutely.
d. The Ratio Test is always inconclusive when applied to Eaz.
where a, is a nonzero rational function of k.
Transcribed Image Text:Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexample. a. n!n! = (2n)!, for all positive integers n. (2n)! b. = 2n. (2л — 1)! c. If lim Vla , then 10a, converges absolutely. d. The Ratio Test is always inconclusive when applied to Eaz. where a, is a nonzero rational function of k.
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