Give examples of some functions which are continuous at only one point and discontinuous at all other points of the interval.[B]THANKS
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Originally Posted by kamranqau Give examples of some functions which are continuous at only one point and discontinuous at all other points of the interval.[B]THANKS The classic example is the function $\displaystyle f(x) = \left\{ \begin{array}{cl}x, & \mbox{ if } x \mbox{ is rational}\\-x, & \mbox{ if } x \mbox{ is irrational}\end{array}\right.$ It is continuous only at x = 0.
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