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

\( \lim\limits_{x \to 0} \dfrac{ax+b}{cx+1} \)

= \( \lim\limits_{x \to 0} \dfrac{a(0)+b}{c(0)+1} =b\)

Differentiate with respect to x x^{n} log_{a} x

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Differentiate with respect to x x^{2} e^{x} log x

Differentiate with respect to x x^{3} e^{x}

Differentiate with respect to x x^{3} sin x