Explain the implication? Or explain why you may interchange the limit and the natural log.

I think you mean the impication

So exponentiating both sides gives

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- Jul 2nd 2008, 11:27 AMMathstud28
- Jul 2nd 2008, 11:29 AMChris L T521
- Jul 2nd 2008, 11:33 AMMathstud28
- Jul 2nd 2008, 11:37 AMApprentice123
- Jul 2nd 2008, 12:18 PMcolby2152
Cramer's Rule is the method to solve for the discriminant of a non 2x2 matrix.

- Jul 2nd 2008, 12:28 PMMathstud28
- Jul 2nd 2008, 03:38 PMgalactus
We could perhaps try it without the Hospital rule.

Let

Then we get the recognizable and fairly famous limit which can be solved by a suitable substitution:

Probably wasn't worth posting, but I had to post at least one thing today(Hi) - Jul 2nd 2008, 03:54 PMMathstud28