Let \( f(x) \) be a function defined by \( f(x)=\left\{\begin{aligned} 4 x-5, & \text { if } x \...
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0Let \( f(x) \) be a function defined by \( f(x)=\left\{\begin{aligned} 4 x-5, & \text { if } x \leq 2 \\ x-k, & \text { if } x2 \end{aligned}\right. \). Find \( k \) if \( \operatorname{Lim}_{x \rightarrow 2} f(x) \) exists.
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