The adaptive immune system provides tailored and specific responses to pathogens through lymphocytes like T and B cells. It overcomes limitations of innate immunity by being non-specific, having poor regulation and amplification, and lacking self-discrimination. The adaptive response recognizes specific antigens through antigen receptors on lymphocytes. This leads to clonal expansion of effector and memory cells that provide rapid responses upon re-exposure. Adaptive immunity involves cell-mediated responses by T cells and humoral responses by antibody-producing B cells. It provides immunological memory for long-term protection against pathogens.