Find the value of the constant \( k \) so that the function \( f \) defined by \[ f(x)=\left\{\b...
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Find the value of the constant \( k \) so that the function \( f \) defined by
\[
f(x)=\left\{\begin{array}{cc}
k x^{2}, & x \leq 2 \\
x-3, & x2
\end{array}\right. \text { may be continuous. }
\]
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