A2 June 2023 Paper 2 Q2
2 Which one of the expressions below is not equal to zero?
Circle your answer. [1 mark]
- \(\displaystyle\lim_{x \to \infty}\left(x^2\mathrm{e}^{-x}\right)\)
- \(\displaystyle\lim_{x \to 0}\left(x^5 \ln x\right)\)
- \(\displaystyle\lim_{x \to \infty}\left(\frac{\mathrm{e}^x}{x^5}\right)\)
- \(\displaystyle\lim_{x \to 0}\left(x^3\mathrm{e}^x\right)\)
| Scheme | Marks | AO |
|---|---|---|
| Circles correct answer | B1 | 2.2a |
| (1 mark) |
Typical solution
\(\displaystyle\lim_{x \to \infty}\left(\frac{\mathrm{e}^x}{x^5}\right)\)