NCERT Class 12 · Ch 5 Exercise 5.1 · Q28
NCERT Class 12 Maths · Chapter 5 Continuity And Differentiability · Exercise 5.1 Question 28
Find k for f(x)=kx+1 for x≤π and cos x for x>π, continuous at π.
💡 Concept Hints
- Identify the domain and the inner and outer functions, or the relevant one-sided limits.
- Apply the appropriate differentiation or limit rule, keep all chain factors, and check exceptional points.
✅ Step-by-Step Solution
Final Answer: k=−2/π.
- The left limit and value are kπ+1; the right limit is cos π=−1.
- Equate kπ+1=−1 to get k=−2/π.
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