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JEE Mains · Maths · STD 12 - 5. continuity and differentiation

ધારો કે \(m\) અને \(n\) એ બિંદુઓની સંખ્યા છે કે જેના પર વિધેય \(f(\mathrm{x})=\max \left\{\mathrm{x}, \mathrm{x}^3, \mathrm{x}^5, \ldots ., \mathrm{x}^{21}\right\}, \mathrm{x} \in \mathbb{R}\), અનુક્રમે અવિકલનીય નથી અને અસતત નથી. તો \(\mathrm{m}+\mathrm{n}\) = ___

  1. A 1
  2. B 2
  3. C 3
  4. D 4
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(C) 3

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\(f(x)=\left\{\begin{array}{cc} x, & x \lt -1 \\ x^{21}, & -1 \leq x \lt 0 \\ x, & 0 \leq x \lt 1 \\ x^{21}, & x \geq 1 \end{array}\right.\) \(f(x)\) is continuous everywhere.…
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