El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\sin{\left(\frac{x^{2} + 1}{x - 1} \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución numérica$$x_{1} = 96.3684009544358$$
$$x_{2} = 90.0837361669451$$
$$x_{3} = 39.7891436780888$$
$$x_{4} = 42.9346038417058$$
$$x_{5} = 30.3477782767302$$
$$x_{6} = 11.373573012453$$
$$x_{7} = 36.6429998432797$$
$$x_{8} = 27.1979921539709$$
$$x_{9} = -26.0588281979926$$
$$x_{10} = 29143.5549787244$$
$$x_{11} = -95.2269954193142$$
$$x_{12} = 4.74982742933299$$
$$x_{13} = -7.03425109073387$$
$$x_{14} = -85.7999601616948$$
$$x_{15} = 64.942167461301$$
$$x_{16} = -41.793968939074$$
$$x_{17} = -44.9387609303091$$
$$x_{18} = -29.2081265325128$$
$$x_{19} = 49.2240093400545$$
$$x_{20} = 46.0795237628363$$
$$x_{21} = 93.2260937710914$$
$$x_{22} = -3.7176530415903$$
$$x_{23} = -88.9423578365376$$
$$x_{24} = -98.3692453095918$$
$$x_{25} = 61.798957771065$$
$$x_{26} = 20.8905985592988$$
$$x_{27} = -51.2271882266364$$
$$x_{28} = -82.6575019921408$$
$$x_{29} = -22.9074927933497$$
$$x_{30} = 99.5106625440604$$
$$x_{31} = 33.495973102109$$
$$x_{32} = -13.4277488500922$$
$$x_{33} = -19.7531851725007$$
$$x_{34} = -79.5149762405063$$
$$x_{35} = -76.3723746669333$$
$$x_{36} = 71.2281524248995$$
$$x_{37} = -35.5027287651096$$
$$x_{38} = -60.6578233341209$$
$$x_{39} = 55.511978580843$$
$$x_{40} = -57.5144881953902$$
$$x_{41} = -32.3559672493016$$
$$x_{42} = 68.0852255553106$$
$$x_{43} = -66.9440097234756$$
$$x_{44} = -92.084701146282$$
$$x_{45} = 17.7300102686742$$
$$x_{46} = 24.0459581151674$$
$$x_{47} = -16.5942900252589$$
$$x_{48} = -10.2469520040768$$
$$x_{49} = -54.3709550911224$$
$$x_{50} = 80.6563011240038$$
$$x_{51} = 8.1448563060386$$
$$x_{52} = -63.8009893454824$$
$$x_{53} = 77.5136772222353$$
$$x_{54} = 83.7988467211108$$
$$x_{55} = 58.6555716632028$$
$$x_{56} = -70.0869038015351$$
$$x_{57} = -48.0831426166584$$
$$x_{58} = 86.9413226083957$$
$$x_{59} = -38.6486687875814$$
$$x_{60} = 52.3681404721313$$
$$x_{61} = -73.2296876347991$$
$$x_{62} = 14.5604758178875$$
$$x_{63} = 74.3709649469324$$
$$x_{64} = -261.744578292597$$