Engineering Mathematics · Calculus
Official IIT answer key · IIT Kharagpur · Audited Aug 2026
GATE CSE 2014 Set 2 Q46 · MCQ · 2 marks
Key concept
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Topic notes
Calculus in GATE CS tests single-variable differential and integral calculus, foundational limit evaluations, continuity and differentiability of piecewise/absolute-value functions, and mean value theorems (Rolle's and LMVT). Earlier years (2012-2015) also included numerical methods such as Newton-Raphson, Bisection, and Trapezoidal/Simpson's rules, whereas recent papers (2020-2026) focus heavily on analytical properties: odd/even symmetry in single and multiple integrals, boundary extrema, points of non-differentiability, and MSQ-based structural analyses of functions.
Full Calculus guide →In the Newton-Raphson method, an initial guess of x0 = 2 is made and the sequence x0, x1, x2 is obtained for the function 0.75x3 - 2x2 - 2x + 4 = 0 Consider the statements (I) x3 = 0. (II) The method converges to a solution in a finite number of iterations. Which of the following is TRUE?
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Independent practice explanation verified by the GateAI team. GATE is conducted by the IITs; question text follows the official paper.
