Find ' \( k \) ' so that: \( \lim _{x \rightarrow 2} f(x) \) exists, where : \[ f(x)=\left\{\beg...

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Find ' \( k \) ' so that:
\( \lim _{x \rightarrow 2} f(x) \) exists, where :
\[
f(x)=\left\{\begin{array}{l}
2 x+3, \text { if } x \leq 2 \\
x+2 k, \text { if } x2
\end{array}\right.
\]
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