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Evaluation of the function x - ln(1 + x)

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Interface

#include <codecogs/maths/combinatorics/arithmetic/xsub_ln_add1.h>

using namespace Maths::Combinatorics::Arithmetic;

double xsub_ln_add1( double x )

Evaluations the function

$x - ln(1 + x)$

(1)

Use when x is small, in the range 0.39 < x < 0.57, and expansion of this function yeilds a more accurate answer. For langer values of x, the solution is merely calculated in the usual way.

References

DiDinato, A. R. and Morris, A. H. Algorithm 708: Significant Digit Computation of the Incomplete Beta Function Ratios. ACM Trans. Math. Softw. 18 (1993), 360-373.

Parameters

the value at which to evaluate the function

Interactive Calculator

Result –

Xsub_Ln_Add1

Interface

References

Parameters