Error in solution

What is going on?! |x-2|<1 is not the same as |x|<3.

Agree. Also, dividing by $ln(1)$ is not very cool either...

I fixed these errors, but left out some minor details. Somebody might want to fill them in. (For example, I did comment out a proof that \ln(n+2)/\ln(n+3) \to 1 as n\to \infty because I think it was too long-winded for something so obvious, but it could be uncommented and cleaned up as well.)

So this limit is 'obvious' but not really - its actually tricky to give a correct proof without using L'hopital's rule. The way I managed to do it was to use a change of variables with m = n+3. Someone should fill this in.

Well, I don't find it too tricky, but anyway, I uncommented a proof as requested.

Can't we use l'Hospital rule?

Of course, L'Hopital's rule applies here, but I've gathered from students in the Tutorial Centre that they are (surprisingly and unfortunately) not learning this in their calculus classes here at UBC. If this is indeed the case, then we should probably avoid referring to it in our solutions.

P.S. I know for a fact that it is not covered in Math 100, for example.

Interesting, I had forgotten about that.

That being said, I'm wondering if some of the language (for example bounded away from...) is going to be fully understood by undergrads? Maybe the best solution is to really invite them to write feedback on the discussion tabs of each question and let us know what works for them.

Yes, I definitely agree that it would be a good idea to let them easily give us feedback or ask questions with discussion tabs. (However, I also think that we should continue to have the ability to have discussion only among contributors that the students cannot see. Would it be possible to have both kinds of discussion?)

Not on the wiki. We could have the discussions on the MER pages but it's hard to see how to do this nicely.

The other question that it raises, is why wouldn't we want them to be able to see and participate to those discussions? I have a hard time thinking about topics that contributors would discuss that students shouldn't see.

Actually, I can't think of a topic in particular that shouldn't be public either. As long as we all stay professional and respectful, then perhaps there is no need for private discussion. (Although, maybe some would be less likely to participate in the discussion if it is public...) On that note...is this thread public?

This thread is public in the sense that it doesn't require any form of login to see it :)

I think that keeping it professional works fine and if anybody has an issue, we still have emails.