Let $\mathop {Lim}\limits_{x \to 0} \sec^{-1} \left( \frac{x}{\sin x} \right) = l$ and $\mathop {Lim}\limits_{x \to 0} \sec^{-1} \left( \frac{x}{\tan x} \right) = m$,then

  • A
    $l$ exists but $m$ does not
  • B
    $m$ exists but $l$ does not
  • C
    $l$ and $m$ both exist
  • D
    neither $l$ nor $m$ exists

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