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Number
AlternatingSeries, Catalan, cFrac, Convergents, LegendreP, nFactors, nPrimes, Pi_Digits, Random

Algebra
Apart, Eval, Expand, Factor, PolyDivide, PolyFit, PolyGCD, PolyLCM, Quotient, Remainder, SimplifyPoly, Solve, SolveSystem, Together

Basic
Abs, Arg, Conj, Exp, Hyperbolic Functions, Im, Ln, Log, Re, Trigonometric Functions

Calculus
D, Diff, DSolve, fDiff, FourierCos, FourierSeries, FourierSin, iDiff, iLaplace, Integrate, Laplace, Limit, NIntegrate, pDiff, Product, Series, Sum

CAS
Call, Choose, Clear, Date, Delete, Extract, Function, Insert, List, Matrix, Part, Replace, Size, String, Value, Variables

Data
Constant, Finance, LoadList, LoadMatrix, Table

Elementary
Binomial, Ceil, Eulerian, Factorial, Floor, fPart, iPart, Mod, Multinomial, nCr, nPr, nRoot, Pochhammer, Round, Sign, Sqrt

Graphing
clip, FullRectSineWave, HalfRectSineWave, SawToothWave, SquareWave, StaircaseWave, TriangleWave

Manual
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Matrix
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Plot
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Scripting
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Special
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Special Polynomials
Bernoulli, ChebyshevT, ChebyshevU, Euler, Fibonacci, GegenbauerC, HermiteH, LaguerreL, LegendreQ, Lucas

Statistical
BinomialCDF, BinomialPDF, ChiSquareCDF, ChiSquarePDF, GeoCDF, GeoPDF, InverseNormal, Max, Mean, Min, NormalCDF, NormalPDF, PoissonCDF, PoissonPDF, StandardDeviation, StudentTCDF, StudentTPDF, Variance

Trigonometric
ExpConvert, TrigCollect, TrigConvert, TrigExpand, TrigReduce

Vector Calculus
Angle, Cross, Curl, Divergence, Dot, Duf, Gradient, Hessian, Jacobian, Laplacian, Norm, SurfaceNormal

  
AlternatingSeries(n, [terms])
n
Real number

[terms]
Maximum terms to return

This function approximates the given real number in an alternating series.

The result is returned in a matrix with the top row = numerator and the bottom row = denominator of the different terms.

Note the alternating sign in the numerator!

Examples  








Related Functions
cFrac, Convergents



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