Series Convergence Tester
Test infinite series for convergence using ratio test, root test, divergence test, and more.
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Ratio test: L = lim|a_(n+1)/a_n| = 0.902500. L < 1, series CONVERGES absolutely.
Terms a_n
a_1 =1.000000
a_2 =0.250000
a_3 =0.111111
a_4 =0.062500
a_5 =0.040000
a_6 =0.027778
a_7 =0.020408
a_8 =0.015625
a_9 =0.012346
a_10 =0.010000
Partial Sums S_n
S_1 =1.000000
S_2 =1.250000
S_3 =1.361111
S_4 =1.423611
S_5 =1.463611
S_6 =1.491389
S_7 =1.511797
S_8 =1.527422
S_9 =1.539768
S_10 =1.549768
Features
- Ratio test, root test, divergence test
- Geometric series detection
- Partial sums display
- 100% client-side
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Disclaimer: This tool is provided as-is for informational and educational purposes only.