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Very simple limit, why doesn't it evaluate?

• To: mathgroup at smc.vnet.net
• Subject: [mg31909] Very simple limit, why doesn't it evaluate?
• From: "Jacek Dziedzic" <dust-NOSPAM- at tenbit.pl>
• Date: Tue, 11 Dec 2001 01:33:46 -0500 (EST)
• Sender: owner-wri-mathgroup at wolfram.com

It stunned me that the Mathematica 3.0 returns this very simple limit
unevaluated:
4^(n+3)/(3^(n+4)-5), with n -> infinity.

Moreover, the NLimit function returns 1.0756... which is a rather poor
approximation of infinity (the expected result)... Well I can understand
that NLimit is numerical and can't be relied on, but why does the original
Limit[] die on that? Or am I doing anything wrong?

- Jacek Dziedzic