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Series convergence tests

What you are seeing: partial sums of four series with the geometric, ratio, and root tests applied. The accent curve is the partial sum; the dashed line is the limit (when finite).

Figure 1. Partial sums and the ratio/root convergence tests.
seriespseries_2
N40

WHAT TO TRY

  • Vary each control and watch the rail readouts respond.
  • Compare the diagnostic plot against the live scene.