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CBSE Class 12 Mathematics 2026 Main Paper 65/3/1 · Q71 Markspiecewise_continuity

CBSE Class 12 Mathematics 2026 Main Paper 65/3/1 · Question 7 (Continuity And Differentiability)

Find k for continuity of f(x)=x² sin(1/x) for x≠0 and f(0)=k(0+1).

✅ Step-by-Step Solution

Final Answer: 0
  1. The oscillating term has absolute value at most x² and tends to zero. Thus f(0)=k must be zero.

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