Suppose \( x \\neq 1 \), for what values of \( x \) will \( x, \\frac{x(x-2)}{(x+1)}, \\frac{x(x-2)^2}{(x+1)^2} \) have a Sum to Infinity?

University of Ilorin MTH101 2025B past question

  1. \( \\left| \\frac{x-2}{x+1} \\right| \\le 1 \)
  2. \( x < 1 \)
  3. \( \\left| \\frac{x-2}{x+1} \\right| < 1 \)
  4. \( \\left| \\frac{x(x-2)}{x+1} \\right| < 1 \)

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