Hi, can anyone give me an example of a function whose absolute value is continuous at x=0, but the original function is not continuous at x=0. Cheers!
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Originally Posted by liedora Hi, can anyone give me an example of a function whose absolute value is continuous at x=0, but the original function is not continuous at x=0. Cheers! Try: $\displaystyle f(x):=\left\{\begin{matrix}1& x\geq 0 \\ -1& x<0 \end{matrix}\right$
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