The interval \( [0,4] \) is divided into \( \mathrm{n} \) equal sub...

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The interval \( [0,4] \) is divided into \( \mathrm{n} \) equal sub-
P intervals by the points \( x_{0}, x_{1}, x_{2}, \ldots, x_{n}-1, x_{n} \) where

W \( 0=x_{0}x_{1}x_{2}x_{3} \ldotsx_{n}=4 \). If \( \delta x=x_{i}-x_{i-1} \) for \( i=1,2,3, \ldots n \) then \( \lim _{\delta x \rightarrow 0} \sum_{i=1}^{n} x_{i} \delta x \) is equal to:
(1) 4
(2) 8
(3) \( \frac{32}{3} \)
(4) 16
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