Should we try to expand human’s life outside of natural limits (about 100-120 years)?

Very long, potentially endless, life has some advantages. You could accumulate your own knowledge instead of waste time for teaching next generations. You could plan for centuries not for years or decades. Or you could experiment or collect data during far longer time intervals. On the other hand, potentially endless life without relocation to other planets in other star systems inevitably must lead to sharp decrease of humanity birth rate. This, in its turn, will eliminate families or wider kin as multi-generation entities which our societies of any culture or religion base on. And finally, life itself could become just boring for such super long-livers.