Evaluate the given limit: \( \lim\limits_{x \to 0}xsec\;x\)

\( \lim\limits_{x \to 0}xsecx=\lim\limits_{x \to 0}\dfrac{x}{cosx}\)

\( =\dfrac{0}{cos0}=\dfrac{0}{1}=0\)

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

Differentiate with respect to x x^{n} tan x

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