NCERT Class 12 · Ch 5 Exercise 5.1 · Q29
NCERT Class 12 Maths · Chapter 5 Continuity And Differentiability · Exercise 5.1 Question 29
Find k for f(x)=kx+1 for x≤5 and 3x−5 for x>5, continuous at 5.
💡 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=9/5.
- The two limits are 5k+1 and 10, and f(5)=5k+1.
- Thus 5k+1=10, giving k=9/5.
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