NCERT Class 12 · Ch 5 Exercise 5.1 · Q15
NCERT Class 12 Maths · Chapter 5 Continuity And Differentiability · Exercise 5.1 Question 15
Discuss continuity and find any discontinuities of f(x)=2x for x<0; 0 for 0≤x≤1; 4x 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: Discontinuous at 1 only.
- At 0 both limits and f(0) are 0, so it is continuous.
- At 1 the left limit and value are 0, but the right limit is 4. Elsewhere the branches are continuous.
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