The hyperreals make the concept of infinitesimals rigorous as well, while preserving intuitive ease. eg Something like 'limit(f(x),x->a) = L' is just 'f(x) ≈ L

The hyperreals make the concept of infinitesimals rigorous as well, while preserving intuitive ease. eg Something like 'limit(f(x),x->a) = L' is just 'f(x) ≈ L when x ≈ a'