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(Solved): Find the vilue(s) of \( k \) such that the function \( f(x) \) is continuous at \( x=2 \). (Enter y ...
Find the vilue(s) of \( k \) such that the function \( f(x) \) is continuous at \( x=2 \). (Enter your answers as a connena-separated list. If an answer does not exist, enter DNE) \[ f(x)=\left\{\begin{array}{ll} \frac{x^{2}-4}{x-2}, & x<2 \\ k x^{2}-6, & x \geq 2 \end{array}\right. \]
Find the value(s) of \( k \) such that the function is continuous at \( x=-1 \). (Enter your answers as a comma-separated list. If an answer does not exist, enter \[ f(x)=\left\{\begin{array}{ll} \ln (2 x+7), & x<-1 \\ 5 x-k_{1} & x \geq-1 \end{array}\right. \] For the value \( (s) \) of \( k, f(x) \) continuous on \( (-\infty, \infty) \).