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Questions › CUET-PG › CUET-PG 2023 Shift 1 › Q83
4 marks, −1Mathematics › Sequences, series and convergence › Arithmetic and geometric progressions and special seriesModerateabout 1 min

CUET-PG 2023 Shift 1 Question 83: Sequences, series and convergence

Second-order Taylor series approximation of f(x)=ln⁡(1+x)f(x) = \ln(1+x)f(x)=ln(1+x) at x=0x = 0x=0 is

  1. x−x22x - \frac{x^2}{2}x−2x2​
  2. x+x22x + \frac{x^2}{2}x+2x2​
  3. −x−x22-x - \frac{x^2}{2}−x−2x2​
  4. −x+x22-x + \frac{x^2}{2}−x+2x2​

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Plain-text version

Second-order Taylor series approximation of f(x) = ln (1+x) at x = 0 is 1. x - x²/2 2. x + x²/2 3. -x - x²/2 4. -x + x²/2 (A) x - x²/2 (B) x + x²/2 (C) -x - x²/2 (D) -x + x²/2

Also written as: Second-order Taylor series approximation of f(x) = ln (1+x) at x = 0 is 1. x - x^2/2 2. x + x^2/2 3. -x - x^2/2 4. -x + x^2/2

Sequences, series and convergence has come up 33 times in 5 exams since 2006.

What this question tests

This question is on Arithmetic and geometric progressions and special series, part of Sequences, series and convergence in Mathematics.

Sums of standard progressions and series expansions used in economics.

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Question from the CUET-PG 2023 Shift 1 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.