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GATE Engineering Mathematics: Calculus: Limit, continuity, differentiability, mean value theorems and indeterminate forms – Previous Year Questions

2 GATE previous year questions on Calculus: Limit, continuity, differentiability, mean value theorems and indeterminate forms (Engineering Mathematics, Mechanical Engineering) with answers and explanations, from every paper.

  1. GATE 2022 ME (ME1) Q11 (1 mark, Multiple choice) – The limit p = x (x2 + x + 22x - + 2 x) has a finite value for a real . The value of and the corresponding limit p are
  2. GATE 2023 ME Q12 (1 mark, Multiple choice) – The figure shows the plot of a function over the interval [-4, 4]. Which one of the options given CORRECTLY identifies the function?