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JEE Math Practice Question

Let $f: \mathbf{R} \rightarrow \mathbf{R}$ be defined as : $$ f(x)= \begin{cases}\frac{a-b \cos 2 x}{x^2} ; & x1\end{cases} $$ If $f$ is continuous everywhere in $\mathbf{R}$ and $m$ is the number of points where $f$ is NOT differential then $\mathrm{m}+\mathrm{a}+\mathrm{b}+\mathrm{c}$ equals :

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

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