NCERT Class 12 · Ch 5 Exercise 5.1 · Q26
NCERT Class 12 Maths · Chapter 5 Continuity And Differentiability · Exercise 5.1 Question 26
Find k for f(x)=k cos x/(π−2x) for x≠π/2 and 3 at π/2, continuous at π/2.
💡 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=6.
- Set h=x−π/2. The quotient becomes k sin h/(2h), with limit k/2.
- Continuity requires k/2=3, hence k=6.
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