Question # 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]

# 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]

Solution ( 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 )

Solution