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Mathematical Methods — Question 6

QCAA 2023, Paper 1 · 1 mark

Q6 · 2023 · Technology-freeSimple familiar1 mark

QUESTION 6

Which sequence of hh-values is suitable for estimating lim⁡h→0ah−1h\displaystyle\lim_{h\to0}\frac{a^h-1}{h}?
(A)
−4,−2,−1,−0.5,−0.25,−0.125,…-4,-2,-1,-0.5,-0.25,-0.125,\ldots
(B)
−0.125,−0.25,−0.5,−1,−2,−4,…-0.125,-0.25,-0.5,-1,-2,-4,\ldots
(C)
2,1,0,−1,−2,…2,1,0,-1,-2,\ldots
(D)
1,2,3,4,…1,2,3,4,\ldots
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