Limiting behavior

glebovg · **Joined:** Mon, 28 Dec 2009 00:16:28 UTC **Posts:** 228

How does one generally show how functions, sums and/or products behave asymptotically? For example, asymptotically, primorials grow according to ${e^{(1 + o(1))n\log n}}$ . But how would we show this?

Shadow · **Posted:** Sat, 14 Jul 2012 04:10:02 UTC

glebovg wrote:

How does one generally show how functions, sums and/or products behave asymptotically? For example, asymptotically, primorials grow according to ${e^{(1 + o(1))n\log n}}$ . But how would we show this?

Depends on lots of things. Partial summation is the biggest classical tool.

glebovg · **Joined:** Mon, 28 Dec 2009 00:16:28 UTC **Posts:** 228

Thanks.

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Limiting behavior

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