El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\left(x + 1\right) e^{- x} + \frac{\sin{\left(x \right)}}{2} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución numérica$$x_{1} = 87.9645943005142$$
$$x_{2} = 69.1150383789755$$
$$x_{3} = 21.9911485880692$$
$$x_{4} = 6.25531816007856$$
$$x_{5} = 31.4159265358965$$
$$x_{6} = 47.1238898038469$$
$$x_{7} = 34.5575191894878$$
$$x_{8} = 53.4070751110265$$
$$x_{9} = 9.42645795705553$$
$$x_{10} = 12.566275984907$$
$$x_{11} = 65.9734457253857$$
$$x_{12} = 97.3893722612836$$
$$x_{13} = 40.8407044966673$$
$$x_{14} = 37.6991118430775$$
$$x_{15} = 25.1327412280827$$
$$x_{16} = -0.839252491683444$$
$$x_{17} = 43.9822971502571$$
$$x_{18} = 56.5486677646163$$
$$x_{19} = 15.707968303763$$
$$x_{20} = 78.5398163397448$$
$$x_{21} = 75.398223686155$$
$$x_{22} = 59.6902604182061$$
$$x_{23} = 81.6814089933346$$
$$x_{24} = 28.2743338823389$$
$$x_{25} = 100.530964914873$$
$$x_{26} = 3.43213705801552$$
$$x_{27} = 62.8318530717959$$
$$x_{28} = 50.2654824574367$$
$$x_{29} = 91.106186954104$$
$$x_{30} = 94.2477796076938$$
$$x_{31} = 72.2566310325652$$
$$x_{32} = 84.8230016469244$$
$$x_{33} = 18.8495556630017$$