# Search results

1. ### Riemann integrability

The problem states: Decide if the following function is integrable on [-1, 1] f(x)=\left\{{sin(\frac1{x^2})\;\text{if}\;x\in[-1,\;0)\cup(0,\;1]\atop a\;\text{if}\;x=0} where a is the grade, from 1 to 10, you want to give the lecturer in this course What I don't understand is how to find L(f...
2. ### What is the difference between an electron and electromagnetic waves?

Thanks, that's very cool. And insane too. Molecules behaving like waves, makes me completely doubt if I'm real at all.
3. ### What is the difference between an electron and electromagnetic waves?

Ok, but I now have a few other questions. What happens if both slits are open, but they are far between and the electrons gets sent through only one of them? If it's a wave it can still get through both slits even though one is far away. What would happen? And if only one slot are open, how will...
4. ### What is the difference between an electron and electromagnetic waves?

Both are energy right? I'm asking cause I'm trying to understand the double-slit experiment and I'm just wondering how they can be sure to treat the electron as a particle. Could it be performed with for instance whole atoms or maybe the cores or something else that's more obviously matter...
5. ### Hello, can anyone tell me how I can show that this

Because \lim_{x\to0}\frac1{x} diverges? I'm not sure. What's the comparison test?
6. ### Hello, can anyone tell me how I can show that this

No, it's not working, I really can't evaluate this integral. Is there another way to see that it diverges?
7. ### Hello, can anyone tell me how I can show that this

Yes, of course. Thanks a lot!
8. ### Hello, can anyone tell me how I can show that this

Hello, can anyone tell me how I can show that this diverges \int_{-1}^0\frac{e^x}{x+1}dx I'm out of ideas
9. ### Sum as formula

How can I show that \sum_{i=1}^n\;\frac1{i(i+1)}=\frac{n}{n+1} I've already figured out i can write it as \sum_{i=1}^n\;\frac1{i}-\sum_{i=1}^n\;\frac1{i+1} but as I'm a little drunk I can't figure out how to get from there to the formula. Sorry if I put this in the wrong sextion, but...
10. ### Straight line equation easy question

It's not confusing if you look at the picture
11. ### Straight line equation easy question

The constant is the same as the point where the line crosses the y-axis. So in this case you see it crosses at positive 2 so the constant will be +2.

Anyone?
13. ### Infinite sum

\sum^k_{n=1}e^{-n\sum^k_{n=2}...e^{-n\sum^k_{n=k-1}e^{-n}}} Can anyone help me find out if this converges and if so how to calculate the sum? I don't have an idea on how to even start. This is not homework