Mathematical Methods — Question 1

QCAA 2020, Paper 2 · 1 mark

Q1 · 2020 · Technology-activeSimple familiar1 mark

QUESTION 1

The limit of

\frac{12^h-1}{h}

h

approaches 0 is closest to

(A)

0.0

(B)

1.0

(C)

2.5

(D)

3.0

ABCD

WORKED SOLUTION

1 mark

ANSWER

Worked solution

This is the derivative of

12^h

h=0

\ln(12)\approx2.485

, closest to 2.5. Hence C.

Selects option C.

[1 mark]

Worked explanation by QCE Vault; correct option verified against the QCAA answer key.