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

Are all wave functions with a continuum basis non-normalizable?

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

Quantum Mechanics - TIB AV-Portal

Quantum

Notes on Quantum Mechanics

The probability density is plotted as a function of x for two

quantum mechanics - Why is a wave packet normalizable? - Physics

Introduction SpringerLink

Physics 3 for Electrical Engineering Ben Gurion University of the

Momentum measurement of a particle in Quantum Mechanics

7.5: The Quantum Particle in a Box - Physics LibreTexts

Re)normalization: an Introduction, by Yash, Quantaphy

The allowed states and measurements of Spekkens' toy bit. For the