NCERT Class 12 · Ch 5 Exercise 5.1 · Q25
NCERT Class 12 Maths · Chapter 5 Continuity And Differentiability · Exercise 5.1 Question 25
Examine continuity of f(x)=sin x−cos x for x≠0, f(0)=−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 on R.
- Away from 0, sine minus cosine is continuous.
- The limit at 0 is sin 0−cos 0=−1, equal to the assigned value.
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