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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1975 Canadian MO Problems/Problem 7

Problem 7

Solution