If f is a real function on R[tex]^1[/tex], and holds:lim [f(x+h)-f(x-h)] = 0 for every x belongs R[tex]^1[/tex]. Does f continuous?(adsbygoogle = window.adsbygoogle || []).push({});

And I thought it no. Since I considered it mentioned only the left-hand and right-hand limit are equal, but whether or not equal to f(x) was not exactly known.

Will anybody provide me a suggestion? To whether my judgement is true or vice versa.

Thx!

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# Homework Help: About continuous function

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