All one has to do is see all the prophecies in the Old Testament pertaining to Christ at His first coming, and then see their exact fulfillment in the New Testament. That is the clearest proof that the Bible is the inspired, inerrant, and infallible Word of God. The evangelists and apostles even tell us that those prophecies were fulfilled.
MATTHEW 4: PROPHECY FULFILLED FROM ISAIAH 9:1,2 (C AD 42)
13 And leaving Nazareth, he came and dwelt in Capernaum, which is upon the sea coast, in the borders of Zabulon and Nephthalim:
14 That it might be fulfilled which was spoken by Esaias the prophet, saying,
15 The land of Zabulon, and the land of Nephthalim, by the way of the sea, beyond Jordan, Galilee of the Gentiles;
16 The people which sat in darkness saw great light; and to them which sat in the region and shadow of death light is sprung up.
ISAIAH 9:1,2 (c BC 700)
1 Nevertheless the dimness shall not be such as was in her vexation, when at the first he lightly afflicted the land of Zebulun and the land of Naphtali, and afterward did more grievously afflict her by the way of the sea, beyond Jordan, in Galilee of the nations.
2 The people that walked in darkness have seen a great light: they that dwell in the land of the shadow of death, upon them hath the light shined.