Class 12 Continuity And Differentiability · Mcq Single Correct1 Markscontinuity_parameters
Class 12 Maths · Continuity And Differentiability · Mcq Single Correct #2
Near π/2, f(x)=k cos x/(π−2x) for x≠π/2 and f(π/2)=3. Find k for continuity.
✅ Step-by-Step Solution
Final Answer: Option (C): 6
- Let h=x−π/2. Then cos x=−sin h and π−2x=−2h, so the limit is k/2. Set k/2=3 to obtain k=6.
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