Evaluate .
Answer and explanation
Correct answer: B.
- Step 1: Factorise: for . Step 2. Let : the limit is . **Answer: . Why not the others:** is what you get if you give the limit point. is what you get if you substitute only into the numerator. is what you get if you treat the quotient as .
Practise more Matrices, Determinants and Coordinate Geometry.
Free questions with an explanation for every one, and full timed ECAT Pakistan mock tests.
More Matrices, Determinants and Coordinate Geometry questions
- Find the determinant of the 3×3 matrix with rows (0, -3, 5); (-3, -1, 0); (-3, -3, -1).
- Find the coordinates of the focus of the parabola y² = 16x.
- Find the eccentricity of the ellipse x²/169 + y²/25 = 1.
- Find the eccentricity of the hyperbola x²/16 − y²/9 = 1.
- Find a × b for a = 3i + 0j + 4k and b = 3i + 4j − 2k.
- Solve dy/dx = 5x with y(0) = 2. What is y(4)?