Menachem Bluming was asked: Why does the Torah portion / Parshah which describes the end of Jacob’s life, his death and his funeral — carry the title Vayechi, “And He Lived”?

So, let me be faithful to Jewish tradition and try to answer one question with another question. Interestingly, the Torah never actually states that Jacob died. It simply says that “he expired and was gathered unto his people.” This prompted one of the Talmudic sages to expound that “our father Jacob never died.” Whereupon his colleagues challenged him and asked, “Did they then bury Jacob for no reason? Did they eulogize him in vain?” To which the Talmud answers: “As his descendants live, so does he live.”
Life does not end with the grave. The soul never dies and the good work men and women do on earth continues to live on long after their physical passing. More particularly, when there is regeneration, if children emulate the example of their forbears, then their parents and teachers live on through them.
Menachem Mendel Bluming, RY”G and Chabad.org