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1975 Canadian MO Problems/Problem 7: Difference between revisions

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Created page with "== Problem 7 == A function <math>f(x)</math> is <math>\textit{periodic}</math> if there is a positive integer such that <math>f(x+p) = f(x)</math> for all <math>x</math>. For ..."
 
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{{Old CanadaMO box|num-b=6|num-a=8|year=1969}}
{{Old CanadaMO box|num-b=6|num-a=8|year=1975}}

Revision as of 15:46, 4 August 2016

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

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


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