JEE Mains · Maths · STD 12 - 5. continuity and differentiation
Let \(m\) and \(n\) be the number of points at which the function \(f(\mathrm{x})=\max \left\{\mathrm{x}, \mathrm{x}^3, \mathrm{x}^5, \ldots ., \mathrm{x}^{21}\right\}, \mathrm{x} \in \mathbb{R}\), is not differentiable and not continuous, respectively. Then \(\mathrm{m}+\mathrm{n}\) is equal to ________ .
- A 1
- B 2
- C 3
- D 4
Answer & Solution
Correct Answer
(C) 3
Step-by-step Solution
Detailed explanation
\(f(x)=\left\{\begin{array}{cc} x, & x \lt -1 \\ x^{21}, & -1 \leq x \lt 0 \\ x, & 0 \leq x \lt 1 \\ x^{21}, & x \geq 1 \end{array}\right.\) \(f(x)\) is continuous everywhere.…
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