- #1
Himanshu
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I encountered the following problem in the defination of 'continuity of a function'.
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 continuous in its domain. Therefore can we say that the function f is continous.
Or does the function posesses removable discontinuity at x=2.
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 continuous 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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