NCERT Class 12 · Ch 5 Exercise 5.1 · Q10
NCERT Class 12 Maths · Chapter 5 Continuity And Differentiability · Exercise 5.1 Question 10
Discuss continuity and find any discontinuities of f(x)=x+1 for x≥1; x²+1 for x<1.
💡 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: No discontinuities.
- Only x=1 needs a junction check.
- Both one-sided limits and f(1) are 2. The polynomial branches are continuous elsewhere.
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