Unlimited growth on a limited planet is impossible.
This is simply untrue. Growth needn't be driven by consuming more resources; it is also driven by innovation and creativity. In fact, most growth over the last seventy years (at least) has been produced not by consumption of more resources but by rapid improvements in technology and the creation of new ideas.
And, even if it were true, it is only relevant if those limits are hit within a timescale relevant to current decision makers. A limit to growth that applies a thousand years in the future is of no consequence.
An economy without growth isn't stable; it is stagnant.