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...
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...
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...
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...
\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