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Mathematics · JEE | LIMITS AND DERIVATIVES

हिन्दी

Evaluate \( \lim_{x \to 2} \frac{x^3 - 2x^2}{x^2 - 5x + 6} \).

  1. A
    Does not exist
  2. B
    4
  3. C
    0
  4. D
    -4
View Answer & Solution

Correct answer · Option D

-4

Explanation

Factoring gives \( \lim_{x \to 2} \frac{x^2(x-2)}{(x-2)(x-3)} = \frac{4}{-1} = -4 \).
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