Continuity and Differentiability · Class 12 · CBSE · Science Mathematics
Let f(x) = (x^2 - 4)/(x - 2) for x ≠ 2 and f(2) = k. For which value of k is f continuous at x = 2?
Practice question from Continuity and Differentiability (Class 12 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
easy · MCQ · Q-ADE59F
Let f(x) = (x^2 - 4)/(x - 2) for x ≠ 2 and f(2) = k. For which value of k is f continuous at x = 2?
- A.0
- B.2
- C.4Correct answer
- D.Does not exist
Solution
For , . Hence, . Continuity at requires .
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