NCERT Class 12 · Ch 5 Exercise 5.1 · Q2
NCERT Class 12 Maths · Chapter 5 Continuity And Differentiability · Exercise 5.1 Question 2
Examine continuity of f(x)=2x²−1 at x=3.
💡 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: Continuous at x=3.
- limₓ→₃(2x²−1)=2·3²−1=17.
- The value f(3)=17 equals the limit, establishing continuity.
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