MathNet 1975 — Part 01 Question 7

A function $f(x)$ is periodic if there is a positive number $p$ such that $f(x+p)=f(x)$ for all $x$. For example, $\sin x$ is periodic with period $2 \pi$. Is the function $\sin \left(x^{2}\right)$ periodic? Prove your assertion.