Merge branch 'master' of https://github.com/AndreasFMueller/SeminarSpezielleFunktionen

1 files changed, 26 insertions, 0 deletions

diff --git a/buch/chapters/040-rekursion/gammalimit/l.cpp b/buch/chapters/040-rekursion/gammalimit/l.cpp
new file mode 100644
index 0000000..7a86800
--- /dev/null
+++ b/buch/chapters/040-rekursion/gammalimit/l.cpp
@@ -0,0 +1,26 @@
+/*
+ * l.cpp
+ *
+ * (c) 2022 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+ */
+#include <cstdlib>
+#include <cmath>
+#include <cstdio>
+
+int	main(int argc, char *argv[]) {
+	double	x = 0.5;
+	double	g = tgamma(x);
+	printf("limit: %20.16f\n", g);
+	double	p = 1;
+	long long	N = 100000000000;
+	long long	n = 10;
+	for (long long k = 1; k <= N; k++) {
+		p = p * k / (x + k - 1);
+		if (0 == k % n) {
+			double	gval = p * pow(k, x-1);
+			printf("%12ld  %20.16f %20.16f\n", k, gval, gval - g);
+			n = n * 10;
+		}
+	}
+	return EXIT_SUCCESS;
+}