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IF f(x)={{:(x,"if",x,"is rational"),(1-x...

IF `f(x)={{:(x,"if",x,"is rational"),(1-x,"if",x, "is irrational"):},"then find" lim_(xto1//2) f(x)` if exists.

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To solve the problem of finding the limit of the function \( f(x) \) as \( x \) approaches \( \frac{1}{2} \), we will follow these steps: ### Step 1: Define the function The function is defined as: \[ f(x) = \begin{cases} x & \text{if } x \text{ is rational} \\ ...
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