NCERT Class 12 · Ch 5 Exercise 5.1 · Q34
NCERT Class 12 Maths · Chapter 5 Continuity And Differentiability · Exercise 5.1 Question 34
Find discontinuities of f(x)=|x|−|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: None.
- Both absolute-value functions are continuous for all real x.
- Their difference is continuous on R; corners at −1 and 0 affect differentiability, not continuity.
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