1) Find a function, [tex]f(x)[/tex] which is discontinuous at [tex]1, \frac{1}{2}, \frac{1}{3}, \frac{1}{4} ...[/tex], but continuous at any other points.(adsbygoogle = window.adsbygoogle || []).push({});

Solution (I have come across, probably wrong and a half):

f(x) = { 1 for all real x; 0 for 1/x where x is natural numbers.

Can any one tell me the answer to this?

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# (Spivak) - a function with strange behaviour.

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