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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Limits

NDA 2012 · Mathematics · Limits

What is _ x arrow 2 (x-2)/(x^2-4) equal to?

What is lim⁡x→2x−2x2−4\lim _{x \rightarrow 2} \frac{x-2}{x^2-4} equal to?

Options

  1. A0
  2. B14\frac{1}{4}
  3. C12\frac{1}{2}
  4. D1

Correct answer

B. 14\frac{1}{4}

Step-by-step solution

lim⁡x→2x−2(x+2)(x−2)=14.\lim _{x \rightarrow 2} \frac{x-2}{(x+2)(x-2)}=\frac{1}{4}.
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