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Discuss the continuity of the function f...

Discuss the continuity of the function `f` defined by ` f(x) = 1/(x-1) , x ne 1 `

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For any real number c, for `c ne 1` we have
` underset(x to c)lim f(x) = underset(x to c) lim 1/(x -1) = 1/(c-1) `
Also, since for ` c ne 1 f(c) = 1/ (c-1)` we have ` underset(x to c) f(x) = f(c) ` and hence f is continuous at every point in the domain of f is a continuous function.
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