Prove that as

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- Apr 15th 2010, 12:40 PMSlazenger3Proving a limit of a function
Prove that as

- Apr 15th 2010, 12:48 PMchiph588@
- Apr 15th 2010, 12:58 PMDrexel28
- Apr 15th 2010, 01:42 PMchiph588@
- Apr 15th 2010, 05:56 PMLaurent
A common proof (valid for any coefficients) would go along these lines: dividing numerator and denominator by , we have . Under this form, the limits of the terms are immediate to see; in particular, the numerator goes to and the denominator converges to 1, hence the ratio goes to .