Series Convergence Calculator

Check whether an infinite series converges or diverges using standard tests.

Common Tests:

1. Geometric series: sum r^n converges if |r| < 1
2. p-Series: sum 1/n^p converges if p > 1
3. Ratio test: lim |a[n+1]/a[n]| < 1 → convergent
4. Root test: lim nth-root(|a[n]|) < 1 → convergent
      

Enter the series in standard math notation using 'n' as the variable.

Ad Placeholder (Bottom Banner)