Value to which the terms in a number sequence extend.
Examples
- The following sum has a limit of 0, because its terms can approach 0 as close as we like, while remaining positive; this sequence converges toward 0:
1, \(\dfrac{1}{2}\), \(\dfrac{1}{4}\), \(\dfrac{1}{8}\), \(\dfrac{1}{16}\), \(\dfrac{1}{32}\), … - The following sequence diverges, because its limit is infinite: 1, 3, 5, 7, 9, 11, 13, …