I encountered the following problem in the defination of 'continuity of a function'.(adsbygoogle = window.adsbygoogle || []).push({});

We check the continuity of a function in its domain.

Consider a function f defined by f(x)=(x^2-4)/(x-2).

Its domain is R-{2}. i.e. the continuity of the function will be checked in R-{2}. The function is obviously continous in its domain. Therefore can we say that the function f is continous.

Or does the function posesses removable discontinuity at x=2.

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# Homework Help: Continuity of a function

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