Computing research today is fixated on high performance and large scale, but computing can be tremendously powerful even at low power and small scale. In this article we present a perspective on promising directions for research on computing within limits, where concerns about limits overshadow performance and scale. Despite coming from different motivations, computing within limits has very similar considerations as Information Communication Technology for Development (ICTD). We discuss where the two research areas intersect and where they may diverge. We draw parallels between computing within limits and ICTD in terms of technical constraints, designing for context, and goals. We hope to help stimulate computing within limits with ideas from ICTD and highlight research synergies.