1975 Canadian MO Problems/Problem 7

Problem 7

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

Solution

None yet! .

1975 Canadian MO (Problems)
Preceded by
Problem 6
1 2 3 4 5 6 7 8 Followed by
Problem 8


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