Monotonic transformations can indeed solve the infinity issue. For example the sum of 1/n doesn’t converge, but the sum of 1/n^2 converges, even though x → x^2 is monotonic.
Monotonic transformations can indeed solve the infinity issue. For example the sum of 1/n doesn’t converge, but the sum of 1/n^2 converges, even though x → x^2 is monotonic.