Evaluate the Given limit: \( \lim\limits_{x \to 0} \dfrac{ax+b}{cx+1} \)
\( \lim\limits_{x \to 0} \dfrac{ax+b}{cx+1} \)
= \( \lim\limits_{x \to 0} \dfrac{a(0)+b}{c(0)+1} =b\)
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