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# $f(x)=\left\{\begin{array}{1 1}\large\frac{x^5-32}{x-2}&x\neq 2\\k&x=2\end{array}\right.$ is continuous at $x=2$ then $k=$

$(a)\;16\qquad(b)\;80\qquad(c)\;32\qquad(d)\;8$