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Question about algebraic rule for limsup

  1. Oct 22, 2011 #1

    Is it true that [itex] limsup \frac{\sqrt{a_{n+1}}}{\sqrt{a_{n}}} = \sqrt{limsup \frac{a_{n+1}}{a_{n}}}[/itex] ?

    I think this is true for normal limits but does it extend to limsup?
  2. jcsd
  3. Oct 22, 2011 #2


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    Science Advisor

    As long as the a's don't go negative, and stay real, you're OK.
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