NCERT Class 12 · Ch 5 Exercise 5.1 · Q31
NCERT Class 12 Maths · Chapter 5 Continuity And Differentiability · Exercise 5.1 Question 31
Show cos(x²) is continuous.
💡 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.
- The inner function the polynomial x² is continuous for all real x.
- The outer function cosine is continuous at every value of the inner function. The composition theorem establishes continuity on R.
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