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Class 11

Limits, Quiz

Five questions on limits, one-sided limits and the standard limits. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. Find lim⁡x→2x2−4x−2\displaystyle\lim_{x \to 2} \frac{x^2 - 4}{x - 2}.
  2. Find lim⁡x→1x4−1x−1\displaystyle\lim_{x \to 1} \frac{x^4 - 1}{x - 1}.
  3. Find lim⁡x→0sin⁡5xx\displaystyle\lim_{x \to 0} \frac{\sin 5x}{x}.
  4. f(x)=x+1f(x) = x + 1 for x<2x < 2 and f(x)=7−2xf(x) = 7 - 2x for x≥2x \ge 2. Find lim⁡x→2f(x)\displaystyle\lim_{x \to 2} f(x).
  5. Find lim⁡x→3(x2+2x−1)\displaystyle\lim_{x \to 3} (x^2 + 2x - 1).
Unanswered questions are marked wrong.

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