engineering mathematics MCQ #3711

engineering mathematics MCQ #3711

1. Question 1

   Q1. The decomposition of 1 / x(x + 1)² is

   • A) 1 / x - 1 / (x + 1) + 1 / (x + 1)²
   • B) 1 / x + 1 / (x + 1) - 1 / (x + 1)²
   • C) 1 / x - 1 / (x + 1) - 1 / (x + 1)²
   • D) -1 / x + 1 / (x + 1) + 1 / (x + 1)²

   Answer: 1 / x - 1 / (x + 1) + 1 / (x + 1)²

   Explanation: Using partial fraction decomposition for repeated linear factors: 1 / x(x + 1)² = A / x + B / (x + 1) + C / (x + 1)².