NCERT Class 12 · Ch 5 Exercise 5.1 · Q16
NCERT Class 12 Maths · Chapter 5 Continuity And Differentiability · Exercise 5.1 Question 16
Discuss continuity and find any discontinuities of f(x)=−2 for x≤−1; 2x for −1<x≤1; 2 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: Continuous everywhere.
- At −1, both limits and the function value are −2. At 1 they are all 2.
- The branches are continuous inside their intervals, so both junction checks establish continuity on R.
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