It is well known that , but if you didn't know this...
.
Now, this is a indeterminate form, so use L'Hospital's Rule...
Hi again all,
I'm just looking at a sequence limit problem, and I'm wondering if there's a different way to do it than I did. Here it is:
Here's how I solved it:
Would you say this was the best approach, or was there an easier way to go about this? The reason why I ask is I had to scratch my head for awhile before I realized I could address the limit near the end with a substitution.
Thanks in advance!
I'm still very new to all of this (if that isn't obvious), and it's been a learning curve to say the least with self-study, but that makes sense. It's pretty much the same thing that I did except without the substitution. (just putting it in terms of 1/n instead of replacing it).
Since it's so well known, what's the usual application you see with it?