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Limits from equations challenge

The function ff is defined by the formula
f(x)={1x21x3if x<3cx+1if x3\qquad f(x) = \begin{cases} \dfrac{\dfrac{1}{x-2}-1}{x-3} &\text{if $x < 3$}\\\\ cx+1 &\text{if $x\geq3 $} \end{cases}
What is the value of cc that will make ff continuous at x=3x=3 ?