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## 'Operating Machines' printed from http://nrich.maths.org/

Have you carefully read the question?

What happens if you repeatedly apply DIFF to $f(x)=x$?

What happens if you repeatedly apply INT to $f(x)=x$?

What happens if you apply DIFF several times followed by INT
several times?

What functions might you try instead of $f(x)=x$?