# troubling

1. ### Foundations of mathematics - something is troubling me

One of the main reasons I study mathematics is because of the certainty of it. Given certain assumptions, one can deduce whether or not something is true. Recently, I've just discovered that the foundations of mathematics is not self-consistent. There is a possibility that there may exist a...
2. ### Troubling Trig Integral

I am currently working on an integral that I finally found the answer to after approaching differently, but I would like to know why my first approach failed -- it led to undefined trig functions and/or ln 0. As far as I can tell, by math logic is okay, unless I'm missing something...
3. ### Hilbert's Hotel is Troubling Me

I am about to do an inspiring lesson on Hilbert's hotel to my 15 year old pupils (they are bright, don't worry) but I have an issue that needs resolving for my own benifit. The problem is when infinitely many coaches turn up with infinitely many people on them. The solution, as I'm led to...
4. ### A troubling limit

The question is lim x-> 0 from the right side It says prove that the limit of sqrt(x) * e^{sin(pi/x)} = 0 That's square root x multiplied by e to the power of sin(pi/x) Says to prove this....The "squeeze" theorem appears in this section so it might be related to that...But where to start...
5. ### A troubling for me...

Students in an elementary class decided to spend D dollars for a present for their favourite teacher, Mrs B, each contributing an equal amount. Because 15 students refused to contribute, each of those remaining agreed to contribute an additional, equal amount. What was the additional amount each...