Which of the following \( f(x) \) is a removable discontinuity ? (a) \( \quad f(x)=\frac{|x|}{x} \) (b) \( \quad f(x)=\frac{x^{2}+3 x}{x+3} \) (c) \( \quad f(x)=\frac{x-2}{|x|-2} \)
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- This function is defined as: \[ f(x) = \begin{cases} 1 & \text{if } x > 0 \\ -1 & \text{if } x < 0 \end{cases} \] - At \( x = 0 \), the function is undefined, and the limits from the left and right are not equal. Therefore, it has a Show more…
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