## Quick Reference

(series)

The infinite series *a*_{1}+*a*_{2}+*a*_{3} +… is said to converge to a limit *L* if for every ɛ>0 there exists an *N* such that, for all Note that for a series to converge the sequence made up of its terms must converge to 0, though the converse is not true since {1, ½, ⅓, ¼,…} is a sequence which converges to 0 but 1+ ½+⅓+¼ +… is infinite.

*Subjects:*
Physics — Mathematics.