Find the value of \( k \) so that the function \( f \) defined by \( f(x)=\left\{\begin{array}{c...

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Find the value of \( k \) so that the function \( f \) defined by \( f(x)=\left\{\begin{array}{c}k x+1, \text { if } x \leq \pi \\ \cos x, \text { if } x\pi\end{array}\right. \) is continuous at \( x=\pi \).
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