| Infinite sum |
|---|
| sum_(k=0)^infinity x^k = 1/(1 – x) when abs(x)<1 |
| Convergence tests |
| By the geometric series test, the series diverges. |
| Partial sum formula |
| sum_(k=0)^n x^k = (x^(n + 1) – 1)/(x – 1) |
| Infinite sum |
|---|
| sum_(k=0)^infinity x^k = 1/(1 – x) when abs(x)<1 |
| Convergence tests |
| By the geometric series test, the series diverges. |
| Partial sum formula |
| sum_(k=0)^n x^k = (x^(n + 1) – 1)/(x – 1) |