A2 June 2025 Paper 1 Q3

3 Which one of the following expressions cannot be evaluated by l’Hôpital’s rule?

Circle your answer. [1 mark]

• \(\displaystyle\lim_{x \to 0}\left(\frac{\sqrt{x}}{\cos x}\right)\)
• \(\displaystyle\lim_{x \to 0}\left(\frac{x^2}{\sin x}\right)\)
• \(\displaystyle\lim_{x \to 0}\left(\frac{\tanh x}{2x}\right)\)
• \(\displaystyle\lim_{x \to 0}\left(\frac{\mathrm{e}^x - 1}{\ln(1 + x)}\right)\)