Need help reading a math definition

[BiophysicsLab]

I have this equation that defines convergence. But I am unable to translate these symbols into a smooth English translation.


For entertainment purposes, this is what I have come up with:

The group of all natural numbers converging to l which is equivalent to all epsilon greater than zero, there exists p in all natural numbers not in the set for all n greater or equal to p where the length of u-l is less than epsilon.

Any suggestions?

 

[daon2]

"No matter how small a positive number you choose, I can give you a starting point in the sequence for which all successive values of the sequence are closer to this predefined limit L than the number you chose."

Also be careful with your vocabulary. The natural numbers are not a group, which is a an important mathematical structure you may encounter in the future.