How this calculation works
Estimate a limit from three successive values using the delta-squared transform.
THE FORMULA
ŝ = s₀ − (s₁−s₀)²/(s₂−2s₁+s₀)A worked example
The geometric errors in 1.5, 1.25 and 1.125 cancel to give 1.
Good to know
The second difference must be nonzero.
Reference: OpenStax Algebra and Trigonometry (opens in a new tab) ↗
Read the result
Estimate a limit from three successive values using the delta-squared transform.
The primary result is labeled “Accelerated estimate”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The second difference must be nonzero.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
The geometric errors in 1.5, 1.25 and 1.125 cancel to give 1.
Which rule does this calculator apply?
ŝ = s₀ − (s₁−s₀)²/(s₂−2s₁+s₀)