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Series e Integrales Logarítmicas de Fibonacci

By Pedro Hugo García Peláez

La suma de todos los números naturales desde Fibonacci(x-1) Hasta Fibonacci(x) dividida por la misma serie entre Fibonacci(x-2) y Fibonacci(x-1) tiende a Phi^2 cuando x tiende a infinito. Este resultado se puede generalizar para cualesquiera series cuyo número de términos sea la suma de los dos anteriores.