Quelpr
3 marksLimits

CAPE Pure Mathematics Unit 1 · May/June 2004 · Paper 2 · Question 5(b)

Determine the values of x ∈ R for which the function (x+2)/(x(x+1)) is NOT continuous.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 5(a)Evaluate lim (x²-2x-3)/(x²-4x+3) as x approaches 3.[4 marks]
  2. 5(c)(i)Find dy/dx in terms of x.[5 marks]
  3. 5(c)(ii)Show that x(x² + 1)dy/dx - 4y = -4/(x² + 1).[5 marks]
  4. 5(d)By investigating the sign of f'(x), determine the range of real values of x for which x³ - 5x + 3 is decreasing.[8 marks]

More practice: the rest of this paper · more Limits questions · all CAPE Pure Mathematics Unit 1 past papers