Question: Use L’Hospital Rule:

(a) \(\underset{x\to 0}{\mathop{\lim }}\,\frac{\ln \left( 1+{{x}^{2}} \right)}{{{e}^{x}}-\cos x}\)

(b) \(\underset{x\to 0}{\mathop{\lim }}\,\frac{\sqrt[3]{1+x}-\sqrt[3]{1-x}}{x}\)