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GATE 2020 CE (CE2) – Question 12

Engineering Mathematics · Calculus: Limits, continuity, mean value theorems, maxima and minima, Taylor series · 1 mark · Multiple choice

Evaluate $\lim_{x\to\infty}\sqrt{9x^2+2020}/(x+7)$.

  1. 7/9
  2. 1
  3. 3
  4. Indeterminable

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Correct answer: (C) 3

Explanation

For positive x tending to infinity, divide numerator and denominator by x: $\sqrt{9+2020/x^2}/(1+7/x)\to3$. **C**.