Solve this following

Question:

For each $\mathrm{t} \in \mathrm{R}$, let $[\mathrm{t}]$ be the greatest integer less than or equal to $\mathrm{t}$. Then

$\lim _{x \rightarrow 0+} x\left(\left[\frac{1}{x}\right]+\left[\frac{2}{x}\right]+\ldots \ldots+\left[\frac{15}{x}\right]\right) \backslash$

 

  1. is equal to $15 .$

  2. is equal to 120 .

  3. does not exist (in $\mathrm{R}$ ).

  4. is equal to 0 .


Correct Option: , 2

Solution:

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