For all $n \in N$,the sum $S_n = 1+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\ldots+\frac{1}{\sqrt{n}}$ satisfies which of the following inequalities?

  • A
    $> n$
  • B
    $< \sqrt{n}$
  • C
    $\leq \sqrt{n}$
  • D
    $\geq \sqrt{n}$

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