<ol class="abc-list"><li><div class="list-item-paragraph">Use the formula listed in the List of Formulae (MF27) to explain why\(\sum_{r=0}^{\infty} \frac{1}{r!} = e\)<span class="inline-marks">[1]</span></div></li><li><div class="list-item-content"><span class="list-item-text">Show that \(\sum_{r=0}^{\infty} \frac{r+1}{r!} = 2e\).</span><span class="inline-marks">[3]</span></div></li><li><div class="list-item-content"><span class="list-item-text">Find the value, in terms of \(e\), of \(\sum_{r=6}^{\infty} \frac{r+1}{r!}\).</span><span class="inline-marks">[3]</span></div></li></ol>

Use the formula listed in the List of Formulae (MF27) to explain why\n\[\sum_{r=0}^{\infty} \frac{1}{r!} = e\]

Use the formula listed in the List of Formulae (MF27) to explain why\(\sum_{r=0}^{\infty} \frac{1}{r!} = e\)

Show that \(\sum_{r=0}^{\infty} \frac{r+1}{r!} = 2e\).

Find the value, in terms of \(e\), of \(\sum_{r=6}^{\infty} \frac{r+1}{r!}\).

Recurrence Relations and Summation

H2 Math

International Baccalaureate Higher Level Mathematics

2025 HCI P1 Q7

2025 HCI P1 Q7