quantum mechanics - Probability of non-normalizable states

In the book Quantum Field Theory by Jakob Schwichtenberg, he is discussing about non-normalizable states in chapter 8. If you compute the normalization in $(8.67)$ you just get infinity. He said on

Chapter 2 Wave Mechanics and the Schrödinger equation

Physical interpretation of non-normalizable harmonic oscillator

Mathematics, Free Full-Text

Solved Problem 1: Probability and time Recall that the time

Bound states and the S-matrix

What is an example of a normalizable function whose limit does not

Probabilities out of non-normalizable functions?

Wave function - Wikiwand

Physical interpretation of non-normalizable harmonic oscillator

Introduction to Quantum Mechanics Griffiths - Schrodinger equation