El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\frac{x}{e^{x}} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = 0$$
Solución numérica$$x_{1} = 89.4552548670559$$
$$x_{2} = 115.385891060967$$
$$x_{3} = 101.418161552262$$
$$x_{4} = 0$$
$$x_{5} = 43.8762545098096$$
$$x_{6} = 117.381987933686$$
$$x_{7} = 59.6328238138969$$
$$x_{8} = 95.4353540260187$$
$$x_{9} = 87.4626045093137$$
$$x_{10} = 71.5396566043977$$
$$x_{11} = 107.40315817241$$
$$x_{12} = 105.407942520376$$
$$x_{13} = 113.389949729147$$
$$x_{14} = 73.5277731870455$$
$$x_{15} = 109.398572537176$$
$$x_{16} = 103.412938828373$$
$$x_{17} = 34.2454094695441$$
$$x_{18} = 99.4236264980399$$
$$x_{19} = 47.7931569932505$$
$$x_{20} = 57.6533514231885$$
$$x_{21} = 49.758798960419$$
$$x_{22} = 75.5166588459953$$
$$x_{23} = 81.4872456640903$$
$$x_{24} = 121.374613775997$$
$$x_{25} = 77.5062407712727$$
$$x_{26} = 61.614029218278$$
$$x_{27} = 83.4785626915261$$
$$x_{28} = 69.5523925194344$$
$$x_{29} = 36.1413894508705$$
$$x_{30} = 65.580821222158$$
$$x_{31} = 97.429350983852$$
$$x_{32} = 45.8319875396224$$
$$x_{33} = 79.496455118891$$
$$x_{34} = 53.7006804984823$$
$$x_{35} = 38.0568716419232$$
$$x_{36} = 93.4416565533312$$
$$x_{37} = 39.9866376954424$$
$$x_{38} = 41.9272307499711$$
$$x_{39} = 111.394173451874$$
$$x_{40} = 32.3772961851972$$
$$x_{41} = 85.4703620749206$$
$$x_{42} = 67.5660769899711$$
$$x_{43} = 119.378231552779$$
$$x_{44} = 51.7281686335153$$
$$x_{45} = 55.67586733869$$
$$x_{46} = 63.5967547129854$$
$$x_{47} = 91.4482816547886$$