NCERT Class 12 · Ch 5 Exercise 5.1 · Q6
NCERT Class 12 Maths · Chapter 5 Continuity And Differentiability · Exercise 5.1 Question 6
Discuss continuity and find any discontinuities of f(x)=2x+3 for x≤2; 2x−3 for x>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: x=2 only.
- Each branch is a polynomial away from 2.
- At 2, the left limit and f(2) are 7, whereas the right limit is 1. Hence the jump is at 2.
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