4 marksLimits
CAPE Pure Mathematics Unit 1 · May/June 2013 · Paper 2 · Question 5(a)(i)
Find lim (x→2) f(x).
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Practise this questionOther parts of this question
- 5(a)(ii)Determine whether f(x) is continuous at x = 2. Give a reason for your answer.[2 marks]
- 5(b)Show that dy/dx = (−4x³ – 10x² – 14x + 4) / (x² + 2)⁴[5 marks]
- 5(c)Find dy/dx in terms of θ.[5 marks]
- 5(d)(i)Determine the coordinates of the points P and Q at which the curve and the line intersect.[4 marks]
- 5(d)(ii)Calculate the area of the shaded region.[5 marks]
More practice: the rest of this paper · more Limits questions · all CAPE Pure Mathematics Unit 1 past papers