The interval \( [0,4] \) is divided into \( n \) equal sub-intervals by the points \( x_{0}, x_{...

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The interval \( [0,4] \) is divided into \( n \) equal sub-intervals by the points \( x_{0}, x_{1}, x_{2}, \ldots \). \( x_{n-1}, x_{n} \) where \( 0=x_{0}x_{1}x_{2}x_{3} \ldots \ldotsx_{n}=4 \). If \( \delta x=x_{1}-x_{i-1} \) for \( i=1,2,3, \ldots \ldots n \) then \( \lim _{\delta x \rightarrow 0} \sum_{i=1}^{n} x_{i} \delta x \) is equal to :
(a) 4
(b) 8
(c) \( \frac{32}{3} \)
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