Why is that

Can anyone kindly explain it?

Printable View

- Nov 16th 2009, 03:41 PMx3bnm[SOLVED] Why is limit of natural log equal to ln of limit?
Why is that

Can anyone kindly explain it? - Nov 16th 2009, 03:44 PMDrexel28
- Nov 16th 2009, 04:37 PMx3bnm
Sorry the expression was wrong in my last post. Edited one is :

I found them Thomas' Calculus solution book as part of solving a integral(Chapter 8.8 exercise9). But why are they equal? - Nov 16th 2009, 04:44 PMhjortur
Because ln(x) is continous for every

- Nov 16th 2009, 04:53 PMx3bnmQuote:

Because ln(x) is continous for every

- Nov 16th 2009, 04:57 PMRockHard
The function is not discontinuous on any interval greater than 0, or does not have any asymptotic holes on intervals greater than 0, simply look at the graph as x is > 0 and it continues to reach infinity in terms of limits

Finding the graph is simple, just use a calculator or manually find the "sequence of terms" for each x, like x = 1, x = 2, x = 3...and so on to make the graph and youll see why - Nov 16th 2009, 05:05 PMx3bnm
Thanks hjortur and RockHard. I get it now.(Happy)

- Nov 16th 2009, 05:07 PMredsoxfan325
One of the definitions/implications of continuity is that if you have a sequence such that , then