Paper 2Multiple choiceTechnology-activeEL1

Question 1 · 1 mark

Spec and skills
  • Spec EL1
The table shows values of ah−1h\dfrac{a^{h} - 1}{h} for h=0.0001h = 0.0001, correct to four decimal places. a2.52.72.83.0ah−1h0.91630.99331.02971.0987\begin{array}{c|cccc} a & 2.5 & 2.7 & 2.8 & 3.0 \\ \hline \dfrac{a^{h} - 1}{h} & 0.9163 & 0.9933 & 1.0297 & 1.0987 \end{array} Based on the table, which interval contains the value of aa for which lim⁡h→0ah−1h=1\displaystyle\lim_{h \to 0} \dfrac{a^{h} - 1}{h} = 1?
Choose one option.

Independent preparation for QCE Mathematical Methods Units 3 and 4. Not affiliated with or endorsed by the Queensland Curriculum and Assessment Authority (QCAA).