NSum

Numerical approximation of a sum using polynomial extrapolation

Independently checkable: an answer for this function is re-derived by a different route and compared - the workbench and the verify tool do this automatically, so a wrong answer is caught rather than trusted. History →

Forms

NSum[f, {i, imin, imax}]

NSum[f, {i, imin, imax, di}]

Verified examplesNSum[(-5) ^ i / i!, {i, 0, ∞}] → 0.006737946999086885 NSum[1 / 2 ^ i, {i, 0, ∞, 2}] → 2.NSum[1 / 2 ^ (2j), {j, 0, ∞}] → 1.3333333333333313Options

AccuracyGoal — default Infinity
EvaluationMonitor — default None
Method — default Automatic
NSumTerms — default 15
PrecisionGoal — default Automatic
VerifyConvergence — default True
WorkingPrecision — default MachinePrecision

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Used in

N integrate integration strategies extrapolating oscillatory strategy - 9 steps

Topics

Calculus - Numerical Calculus »
Discrete Calculus - Sums & Differences
Discrete Calculus - Numerical Discrete Calculus
Numerical Evaluation And Precision - Major Numerics Functions

Used in

Topics

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