NCERT Class 12 · Ch 5 Exercise 5.1 · Q8
NCERT Class 12 Maths · Chapter 5 Continuity And Differentiability · Exercise 5.1 Question 8
Discuss continuity and find any discontinuities of f(x)=|x|/x for x≠0; 0 for x=0.
💡 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=0 only.
- For x<0 the quotient is −1; for x>0 it is 1.
- The left and right limits at 0 differ, so f is discontinuous there; each nonzero point has a constant neighbourhood.
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