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GATE Engineering Mathematics: Calculus: Limits, continuity, differentiability, Taylor series and mean value theorem – Previous Year Questions

4 GATE previous year questions on Calculus: Limits, continuity, differentiability, Taylor series and mean value theorem (Engineering Mathematics, Chemical Engineering) with answers and explanations, from every paper.

  1. GATE 2022 CH Q13 (1 mark, Multiple choice) – Let f(x) = e- x , where x is real. The value of dfdx at x = -1 is
  2. GATE 2023 CH Q11 (1 mark, Multiple choice) – Which one of the following is the CORRECT value of y, as defined by the expression given below? y = x 02xex - 1
  3. GATE 2024 CH Q11 (1 mark, Multiple choice) – The first non-zero term in the Taylor series expansion of (1 - x) - e-x about x = 0 is
  4. GATE 2026 CH Q22 (1 mark, Multiple choice) – Which one of the following is the value of x 0 ex - x - 1 x - 1 ?