LUMII, CONTINUITY AND DIFFERENTIABILITY OF FUNCTION tration : [x]+[2x]+.....+[x] If [ ] denotes the greatest integer function, then find the value of lim- xoo nx - 1< [nx]

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( lim _{x rightarrow infty} frac{[x]+[2 x]+cdots cdot[n x]}{n^{2}} mid begin{array}{l}* text { yne question } text { should be } lim _{n rightarrow infty} .end{array} ) . Sumation gives ( therefore ) Aus is ( x / 2 )

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