Class 12 Continuity And Differentiability · Conceptual Answer1 Markscontinuity_parameters
Class 12 Maths · Continuity And Differentiability · Conceptual Answer #37
For x≠0, f(x)=sin(5x)/(3x)+cos x, and f(0)=k. Find k for continuity at 0.
✅ Step-by-Step Solution
Final Answer: k=8/3
- Use sin(5x)/(3x)=(5/3)sin(5x)/(5x)→5/3 and cos x→1; the required value is 5/3+1.
- k=8/3
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Use sin(5x)/(3x)=(5/3)sin(5x)/(5x)→5/3 and cos x→1; the required value is 5/3+1.
- [0.5 marks] k=8/3
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